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Statistics MCQ - Permutations and combinations

1 Total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants is equal to

2 The number of different permutations of the word BANANA is

3 There are four bus lines between A and B; and three bus lines between Band C.

The number of way a person round trip by bus from A to C by way of B will be

There are four ways to go from A to B and three ways to go from B to C, Hence there are 4 x 3 = 12 ways to go from A to C by way of B

4 In how many ways can 5 red and 4 white balls be drawn from a bag containing 10 red and 8 white balls?

5 The number of diagonals that can be drawn by joining the vertices of an octagon is

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Question:

The number of ways in which three girls and nine boys can be seated in two vans each having numbered seats with four in the back and three…

A. 7!
B. 2 (7!)
C. 7 (13!)
D. 12!

Correct answer: C

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