1	The employees at a hotel reservation center assign an eight-digit confirmation number (CN) to each c... CAT Quantitative Ability Combinatorics and Probability Counting Principles Permutation
2	In how many ways you can answer one or more questions out of 6 questions each having an alternative?... CAT Quantitative Ability Combinatorics and Probability Counting Principles Combination
3	Three small cruise ships, each carrying 10 passengers, will dock tomorrow. One ship will dock at Por... CAT Quantitative Ability Combinatorics and Probability Counting Principles Combination
4	A computer system allows a user to set a three character long password, where each character is eith... CAT Quantitative Ability Combinatorics and Probability Counting Principles Permutation Combination
5	How many different words can be formed with the letters of the word NAINITAL such that each of ... CAT Quantitative Ability Combinatorics and Probability Counting Principles Permutation
6	Given that there are 5 basketball players per team, in how many ways can you select 2 basketball pla... CAT Quantitative Ability Combinatorics and Probability Counting Principles Combination
7	From a standard 52-card deck, how many 5-card hands will have 3 hearts and 2 spades? CAT Quantitative Ability Combinatorics and Probability Counting Principles Permutation Combination
8	In how many different ways can three persons A, B, C having 6, 7 and 8 one rupee coins respectively ... CAT Quantitative Ability Combinatorics and Probability Counting Principles Permutation
9	Father John forms a choir from the church attendants. 30 people attend John's church, and the ch... CAT Quantitative Ability Combinatorics and Probability Counting Principles Combination
10	Which of the following is equal to 1? CAT Quantitative Ability Combinatorics and Probability Counting Principles Permutation
11	In how many ways can we roll an unbiased die twice such that the sum of the numbers on the two throw... CAT Quantitative Ability Combinatorics and Probability Counting Principles Permutation Combination
12	At the end of the day, a bakery gives everything that is unsold to food banks for the needy. If it h... CAT Quantitative Ability Combinatorics and Probability Counting Principles Partitions and Distributions
13	The lock on a safe consists of three wheels, each of which may be set in eight different positions. ... CAT Quantitative Ability Combinatorics and Probability Counting Principles Permutation Combination
14	Find the number of different signals that can be generated by arranging at least 2 flags in ord... CAT Quantitative Ability Combinatorics and Probability Counting Principles Permutation Combination
15	Find the number of permutations of the letters of the word ‘REMAINS’ such that the vowel... CAT Quantitative Ability Combinatorics and Probability Counting Principles Permutation
16	There are 10 seats around a circular table. If 8 men and 2 women have to seated around a circular ta... CAT Quantitative Ability Combinatorics and Probability Counting Principles Permutation Circular Permutation
17	If a die is cast and then a coin is tossed, find the number of all possible outcomes. Type in your ... CAT Quantitative Ability Combinatorics and Probability Counting Principles
18	Given 4 flags of different colours, how many different signals can be generated, if a signal require... CAT Quantitative Ability Combinatorics and Probability Counting Principles
19	If nC8 = nC15, find the value of n. Type in your answer as an integer if your answer is 1... CAT Quantitative Ability Combinatorics and Probability Counting Principles Permutation
20	The number of positive integral solutions of a.b.c = 42 is-- Type in your answer as an integer if y... CAT Quantitative Ability Combinatorics and Probability Counting Principles Partitions and Distributions
21	How many numbers between 100 and 1000 can be formed from the digits 1,2,3,4,5 such that no digit is ... CAT Quantitative Ability Combinatorics and Probability Counting Principles Permutation Combination
22	How many integers, greater than 999 but not greater than 4000, can be formed with the digits 0,1, 2,... CAT Quantitative Ability Combinatorics and Probability Counting Principles Permutation
23	There are 11 students in a section. In how many ways can we award a first rank in Economics and a se... CAT Quantitative Ability Combinatorics and Probability Counting Principles
24	In order to go from city A to City C, one must pass through City B. There are 7 roads that lead to B... CAT Quantitative Ability Combinatorics and Probability Counting Principles
25	How many three letter words with or without meaning can be formed from the letters of the word JINX?... CAT Quantitative Ability Combinatorics and Probability Counting Principles Permutation Combination
26	How many five digit positive integers that are divisible by 3 can be formed using the digits 0, 1, 2... CAT Quantitative Ability Combinatorics and Probability Counting Principles Permutation
27	How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and 5  assuming that repetiti... CAT Quantitative Ability Combinatorics and Probability Counting Principles
28	Find the total number ways in which Sumit can make at most one selection out of 3 flavors of Ha... CAT Quantitative Ability Combinatorics and Probability Counting Principles
29	In how many ways can 16 books on different subjects be divided equally into 4 groups? CAT Quantitative Ability Combinatorics and Probability Counting Principles Permutation Combination
30	Which of the following represent(s) 8!? CAT Quantitative Ability Combinatorics and Probability Counting Principles Permutation
31	Praneet was given the task to make three people: P, Q, and R to sit on three chairs C1, C2, and C3. ... CAT Quantitative Ability Combinatorics and Probability Counting Principles
32	Boxes numbered 1, 2, 3, 4 and 5 are kept in a row, each of which are to be filled with one ball, eit... CAT Quantitative Ability Combinatorics and Probability Counting Principles Permutation Combination
33	The number of non-negative integral solutions of x1+x2+x3+x4 <= n (where n is a positive int... CAT Quantitative Ability Combinatorics and Probability Counting Principles Partitions and Distributions
34	There are 3 roads from A to B, from B to C there are 4 roads, 3 direct roads from A to D and from C ... CAT Quantitative Ability Combinatorics and Probability Counting Principles
35	How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that repetitio... CAT Quantitative Ability Combinatorics and Probability Counting Principles
36	In how many ways can you put 5 identical beads in 3 different boxes? Type in your answer as an inte... CAT Quantitative Ability Combinatorics and Probability Counting Principles Partitions and Distributions
37	The number of ways in which a committee of 5 men and 6 women can be formed from 8 men and ... CAT Quantitative Ability Combinatorics and Probability Counting Principles Permutation Combination
38	In a hotel menu, there are 5 Starters, 4 Soups, 9 Indian Main Courses, 11 Chinese Main Courses, and ... CAT Quantitative Ability Combinatorics and Probability Counting Principles
39	In an Introductory Literature class, the professor may choose one of three specified novels, and cho... CAT Quantitative Ability Combinatorics and Probability Counting Principles Permutation Combination
40	Harry wants to go to a party. He has 6 Shirts, 8 Trousers, 4 Polo T-Shirts, 3 pairs of jeans, 4 Ties... CAT Quantitative Ability Combinatorics and Probability Counting Principles
41	Suppose you can travel from a place A to a place B by 3 buses, from place B to place C by 4 buses, f... CAT Quantitative Ability Combinatorics and Probability Counting Principles
42	Find the number of integral solutions to the equation  |x| + |y| + |z| = 15 CAT Quantitative Ability Combinatorics and Probability Counting Principles Partitions and Distributions
43	How many solutions are there are there for p+q+r+s=22 such that all of p, q, r, s are the whole numb... CAT Quantitative Ability Combinatorics and Probability Counting Principles Combination
44	There are 5 doors to a lecture room. In how many ways can a student enter the room through a door an... CAT Quantitative Ability Combinatorics and Probability Counting Principles
45	A restaurant offers 5 choices of appetizers, 10 choices of main meals and 4 choices of desserts. A c... CAT Quantitative Ability Combinatorics and Probability Counting Principles
46	There are 5 black pens, 3 white pens, and 4 red pens in a box. In how many ways can 2 black pen... CAT Quantitative Ability Combinatorics and Probability Counting Principles Permutation Combination
47	In how many ways can a cricket-eleven be chosen out of 15 players if one a particular player is alwa... CAT Quantitative Ability Combinatorics and Probability Counting Principles Permutation Combination
48	If nC9=nC11, find nC19 Type in your answer as an integer. For example, if your answer is 2, type in... CAT Quantitative Ability Combinatorics and Probability Counting Principles Permutation
49	The number of non-zero integral solutions of the equation a + b + c = 18 is. Type in your answer as... CAT Quantitative Ability Combinatorics and Probability Counting Principles Partitions and Distributions
50	A committee of three people is to be chosen from six people. Number of unique committees that can be... CAT Quantitative Ability Combinatorics and Probability Counting Principles Permutation Combination
51	If nPr = nCr, then what will be the value of r, if n=20? ... CAT Quantitative Ability Combinatorics and Probability Counting Principles Permutation
52	Out of 5 people, 3 are to be seated around a circular table. In how many ways can they sit? Type in... CAT Quantitative Ability Combinatorics and Probability Counting Principles Permutation Circular Permutation
53	The number of ways in which 30 coins of Rupee one each can be given to six persons so that none of t... CAT Quantitative Ability Combinatorics and Probability Counting Principles Partitions and Distributions
54	Nine points are marked on a straight line and 10 points on another line which is parallel to th... CAT Quantitative Ability Combinatorics and Probability Counting Principles Partitions and Distributions
55	The number of divisors of the form 4n+2 (n>=0) of the integer 240 is. Type in your answer as an ... CAT Quantitative Ability Combinatorics and Probability Counting Principles Partitions and Distributions
56	How many different words can be formed with the letters of the word RAINBOW so that the vowels occup... CAT Quantitative Ability Combinatorics and Probability Counting Principles Permutation
57	A group of 11 friends reserved 2 circular tables in a restaurant for dinner. One table has 5 chairs ... CAT Quantitative Ability Combinatorics and Probability Counting Principles Permutation Circular Permutation
58	Payal has to arrange five fruits, 3 identical Oranges, and 2 identical Pears, in a round plate,... CAT Quantitative Ability Combinatorics and Probability Counting Principles Permutation Circular Permutation
59	In how many ways can Sujata divide 15 Banoffee Pies among 5 kids, such that each gets at least 2 and... CAT Quantitative Ability Combinatorics and Probability Counting Principles Partitions and Distributions
60	Jignesh invited two of his colleagues Priyanka and Shipra over for dinner. In how many different way... CAT Quantitative Ability Combinatorics and Probability Counting Principles Permutation Circular Permutation