In-how-many-different-ways-can-the-letters-of-the-word-OKINKWO-be-arranged-In-how-many-of-these-arrangements-does-an-O-occupy-both-end-points-of-the-word-

Question Number 56615 by pieroo last updated on 19/Mar/19

In how many different ways can the

letters of the word OKINKWO be arranged ?

In how many of these arrangements

does an O occupy both end points of

the word ?

Commented by mr W last updated on 19/Mar/19

(1) \frac{7!}{2! 2!} = 1260

(2) \frac{5!}{2!} = 60

Commented by pieroo last updated on 19/Mar/19

thank sir . please do share some lights

on the second one for me .

Commented by Joel578 last updated on 19/Mar/19

O_____O

that means we only have to arrange K, I, N, K, W

arrange 5 letters = 5!

but there is 2 K^{'} s, so we divide it by 2!

\Rightarrow \frac{5!}{2!}

Commented by pieroo last updated on 19/Mar/19

Ok God bless you .

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