Exercise 1.1

Question

How many ways are there to permute the letters in the word MISSISSIPPI?

fifthist x · Accepted Answer

There are $$\binom{11}{4}$$ ways to select $4$ positions for $I$, $$\binom{7}{4}$$

ways to select $4$ postions for $S$, $$\binom{3}{2}$$ ways to selection $2$ 
positions for $P$ leaving us with a single choice of position for $M$. In total, 
we get
$$\binom{11}{4}\binom{7}{4}\binom{3}{2}\binom{1}{1}$$ permutations.

Exercise 1.1

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Exercise 1.1

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