## Permutations and Combinations Quiz-13

Permutations and Combinations is one of the most important chapters of Algebra in the JEE syllabus and other engineering exams. For JEE Mains, it has 4% weightage and for JEE Advanced, it has 5% weightage..

Q1. The number of ways in which we can select four numbers from 1 to 30 so as to exclude every selection of four consecutive number is
•  27378
•  27405
•  27399
•  None of these
Solution
Q2.Ten different letters of an alphabet are given. Words with five letters are formed from these given letters. The number of words, which have at least one letter repeated is
•  59720
•  79260
•  69760
•  None of these
Solution
Q3.  In a group of 13 cricket players, four are bowlers. Find out in how many ways can they form a cricket team of 11 players in which at least 2 bowlers are included
•  55
•  72
•  78
•  None of these
Solution

Q4. The number of words of four letters that can be formed from the letters of the word ‘EXAMINATION’ is
•  1464
•  2454
•  1678
•  None of these
Solution
Q5.A candidate is required to answer six out of 10 questions, which are divided into two groups, each containing five questions. He is not permitted to attempt more than four questions from either group. The number of different ways in which the candidate can choose six questions is
•  50
•  150
•  200
•  250
Solution
Q6. The number of five-digit telephone numbers having at least one of their digits repeated is
•  90000
•  100000
•  30240
•  69760
Solution
Q7.The number of ways in which the letters of the word ‘PERSON’ can be placed in the squares of the given figure so that no row remains empty is
•  24 X 6!
•  26 X 6!
•  26 X 7!
•  27 X 6!
Solution
Q8.In the decimal system of numeration of six-digit numbers in which the sum of the digits is divisible by 5 is
•  180000
•  540000
•  5 X 105
•  None of these
Solution
Q9.lines are drawn in a place such that no two of them are parallel and no three of them are concurrent. The number of different points at which these lines will cut is
•
•  n(n -1)
•  n2
•  None of these
Solution
Q10.The number of ways of choosing a committee of two women and three men from give women and six men, if Mr. A refuses to serve on the committee if Mr. B is a member and Mr. B can only serve, if Miss C is the member of the committee is
•  60
•  84
•  124
• None of these
Solution

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