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(C) The word '$MISSISSIPPI$' consists of the following letters:$M: 1$$I: 4$$S: 4$$P: 2$To form a combination,we can choose any number of each letter.

Vedclass · Accepted Answer

$149$

Vedclass · Answer

(C) The word '$MISSISSIPPI$' consists of the following letters:$M: 1$$I: 4$$S: 4$$P: 2$To form a combination,we can choose any number of each letter. For each letter,the number of ways to choose is (number of occurrences + $1$),where the '+ $1$' accounts for choosing zero of that letter.Number of ways to choose $M = (1 + 1) = 2$Number of ways to choose $I = (4 + 1) = 5$Number of ways to choose $S = (4 + 1) = 5$Number of ways to choose $P = (2 + 1) = 3$Total number of combinations including the case where no letters are chosen $= 2 	imes 5 	imes 5 	imes 3 = 150$.Since we need combinations of 'one or more' letters,we subtract the case where no letters are chosen (the empty set).Total combinations $= 150 - 1 = 149$.

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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