Question

Determine the number of permutations of the letters of the word $SIMPLETON$ taken all at a time.

• A. $362880$
• B. $432000$
• C. $514000$
• D. $645300$

Answer 1

Answer: (A)

$362880$

There are $9$ letters in the word $SIMPLETON$ and all the $9$ letters are different.
Hence the number of permutations taking all the letters at a time = ${}^9{P}_9=9!=362880.$