1 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
2 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
3 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
4 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
5 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
6 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
7 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
8 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
9 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
10 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
11 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
12 Which of the following is equal to 1?
CAT Quantitative Ability Combinatorics and Probability Counting Principles Permutation
13 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
14 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
15 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
16 Which of the following represent(s) 8!?
CAT Quantitative Ability Combinatorics and Probability Counting Principles Permutation
17 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
18 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
19 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
20 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
21 If nPr = nCr, then what will be the value of r, if n=20? ...
CAT Quantitative Ability Combinatorics and Probability Counting Principles Permutation
22 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
23 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
24 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
25 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
26 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
27 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
28 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
29 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
30 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
31 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