Question

In how many ways the letters of the word 'CIRCUMSTANCES' can be arranged such that all vowels came at odd places and N always comes at end?

A) 1,51,200 ways.
B) 5,04,020 ways
C) 72,000 ways
D) None of the above

Answer 1

Step-by-step explanation:

d)none of the above because there are infinite way to arrange it

Answer 2

Answer:

Step-by-step explanation:

In circumcstances word there are 3C's, 2S's, I, U,R, T, A, N, E

Total = 13 letters

But last letter must be N

Hence, available places = 12

In that odd places = 1, 3, 5, 7, 9, 11

vowels = 4

This can be done in 6P4 ways

Remaining 8 letters can be arranged in 8!/3! x 2! ways

Hence, total number of ways = 6P4 x 7!/3! x 2! = 360 x 3360 =1209600  ways.