Question

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

COMBINE

Answer 1

In the word 'COMBINE', the number of letters is n = 7, which are all distinct.

∴ the number of permutations of the letters

= ⁿP_n

= ⁷P₇

= 7!

= 7 × 6 × 5 × 4 × 3 × 2 × 1

= 5040.