How many different words can be formed with the letters of the word MISSISSIPPI?

Options

A. `(11!)/(4!4!2!)`
B. `(11!)/(4!4!)`
C. `(11!)/(4!2!)`
D. none of these

Answer

A

Explanation

There are 11 letters in the given word, of which 4 are S's 4 are 1's and 2 are P's. So, total number of words is the number of arrangements of 11 things, of which 4 are similar of one kind, 4 are similar of second kind and 2 are similar of third kind i.e., `(11!)/(4!4!2!)`
Hence, the total number of words `(11!)/(4!4!2!)`.