MISSISSIPPI Arrangements

MISSISSIPPI has 11 letters with repeats: M(1), I(4), S(4), P(2).

Use the multinomial coefficient $\frac{11!}{1!4!4!2!}$.

1. 1. Count letters

   MISSISSIPPI has 11 letters: M=1, I=4, S=4, P=2.

2. 2. Multinomial coefficient

   Number of distinct arrangements is $\frac{11!}{1!4!4!2!}$.

   $$\frac{11!}{1!4!4!2!}=34650$$

Answer: 34650