How many distinct combinations can be formed | vedclass

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(C) The word $MISSISSIPPI$ contains the following letters: $M: 1, I: 4, S: 4, P: 2$. To form a combination,we can choose any number of $M$s ($0$ or $1

Vedclass · Accepted Answer

$149$

Vedclass · Answer

(C) The word $MISSISSIPPI$ contains the following letters: $M: 1, I: 4, S: 4, P: 2$. To form a combination,we can choose any number of $M$s ($0$ or $1$),any number of $I$s ($0$ to $4$),any number of $S$s ($0$ to $4$),and any number of $P$s ($0$ to $2$). The total number of ways to select letters is $(1+1)(4+1)(4+1)(2+1) = 2 	imes 5 	imes 5 	imes 3 = 150$. Since we must select at least one letter,we exclude the case where no letters are selected (the empty set). Thus,the total number of distinct combinations is $150 - 1 = 149$.

How many distinct combinations can be formed using one or more letters from the word $MISSISSIPPI$?

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