Question

Find the number of ways so that letters of the word HISTORY can be arranged as there is no restriction

Answer 1

In the word 'HISTORY', the number of letters is n = 7.

Words in which there is no restriction:

When there is no restriction, the 7 letters of the word 'HISTORY' can be arranged amongst themselves in ⁷P₇ ways.

Hence, the total number of words when there is no restriction = ⁷P₇ = 7!