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

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 of one or more letters,we can choose any number of $M$s (from $0$ to $1$),$I$s (from $0$ to $4$),$S$s (from $0$ to $4$),and $P$s (from $0$ to $2$).The total number of ways to select these letters is $(1+1)(4+1)(4+1)(2+1) = 2 	imes 5 	imes 5 	imes 3 = 150$.Since the question asks for combinations of one or more letters,we must exclude the case where no letters are selected (i.e.,the case where we choose $0$ of each letter).Therefore,the total number of combinations is $150 - 1 = 149$.

The total number of different combinations of one or more letters which can be made from the letters of the word $MISSISSIPPI$ is

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