(PLEASE EXPLAIN) How many permutations are there for the following word?

Question

1. RAPUNZEL

a) How many being with the letter u?

b) How many being with the letter e?

Answer 1

There are 8 distinct letters.

Making u the first letter leaves 7 for the permutation, ₇P₇ = ?

Making e the first letter leaves 7 for the permutation, ₇P₇ = ?

The two values are the same!