Question

Find the number of permutations of letters in the following word:

REPRESENT

Answer 1

There are 9 letters in the word REPRESENT in which ‘E’ is repeated 3 times and ‘R’ is repeated 2 times.

∴ Number of permutations of the letters of the word REPRESENT = `(9!)/(3!2!)`

= `(9 xx 8 xx 7 xx 6 xx 5 xx 4)/2`

= 30240