Permutation Combination and Probability MCQs

Using all the letters of the word “NOKIA”, how many words can be formed, which begin with N and end with A?

A. 3
B. 6
C. 24
D. 120

The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?

A. 720
B. 144
C. 120
D. 36

The number of permutations of the letters of the word ‘MESMERISE’ is ___?

A. 9!/(2!)2 3!
B. 9!/(2!)3 3!
C. 9!/(2!)2 (3!)2
D. 5!/(2!)2 3!

A committee has 5 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?

A. 150
B. 200
C. 250
D. 300

What are the number of ways to select 3 men and 2 women such that one man and one woman are always selected?

A. 100
B. 60
C. 30
D. 20

A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons?

A. 165
B. 185
C. 205
D. 225

A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most _____?

A. 216
B. 243
C. 215
D. 729

The number of ways in which six boys and six girls can be seated in a row for a photograph so that no two girls sit together is ___?

A. (6!)2
B. 6! * ⁷P₆
C. 2(6!)
D. 6! * 7

How many four digit numbers can be formed using the digits {1, 3, 4, 5, 7,9}(repetition of digits is not allowed)?

A. 360
B. 60
C. 300
D. 180

How many four digit even numbers can be formed using the digits {2, 3, 5, 1, 7, 9}

A. 60
B. 360
C. 120
D. 240

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