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

Question

The total number of different combinations of one or more letters which can be made from the letters of the word "MISSISSIPPI" is (A) 150 (B) 148 (C) 149 (D) None of these

Tardigrade Admin · Accepted Answer

Here we have 1 M, 4I, 4S and 2P. Therefore total number of selections of one or more letters = (1 + 1) (4 + 1) (4 + 1)(2 + 1) - 1 = 149

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

150

148

149

None of these

Here we have $1 M, 4 I, 4 S$ and $2 P .$
Therefore total number of selections of one or more letters
$= (1 + 1) (4 + 1) (4 + 1) (2 + 1) - 1 = 149$

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

150

148

149

None of these

Here we have 1M,4I,4S and 2P. Therefore total number of selections of one or more letters =(1+1)(4+1)(4+1)(2+1)−1=149

Here we have $1 M, 4 I, 4 S$ and $2 P .$
Therefore total number of selections of one or more letters
$= (1 + 1) (4 + 1) (4 + 1) (2 + 1) - 1 = 149$