Question

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

Answer 1

The word SHANTARAM has 9 letters of which ‘A’ is repeated 3 times and the rest all are different.
Hence, the number of permutations

= `("n"!)/("p"!)`

= `(9!)/(3!)`

= `(9 xx 8 xx 7 xx 6 xx 5 xx 4 xx 3!)/(3!)`

= 60480