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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