IFRAME SYNC
IFRAME SYNC
IFRAME SYNC
IFRAME SYNC

Number of words that can be made using all the letters of the word W, if Os as well as Is are separated is?

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I am facing difficulty in solving the 18th Question from the above passage.

Attempt:

I have attempted it using principal of inclusion and exclusion.

Let n be the required number of ways.

$n = \text{Total number of ways - Number of ways in which Os and Is are together}$

$\implies n = \dfrac{12!}{3!2!2!} - \dfrac{11!}{2!3!} - \dfrac{10!}{2!2!}+ \dfrac{9!2!}{2!} = 399 \times 8!$

This gives $N = 399$ which is wrong. Can you please tell me why am I getting the wrong answer?



from Hot Weekly Questions - Mathematics Stack Exchange

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