In how many ways can the letters in the word SPOON be arranged? 

Solution:

A permutation is an arrangement in a definite order of a number of objects taken some or all at a time. 

The permutations is easily calculated using 

nPr = n!/ (n - r)!

There are 5 letters in SPOON

5! = 5 × 4 × 3 × 2 × 1 = 120 different permutations

O is repeated twice in the given word

So we have to divide the permutation by 2 = 120/2 = 60

Therefore, in 60 ways the letters in the word SPOON can be arranged.

In how many ways can the letters in the word SPOON be arranged? 

Summary:

The letters in the word SPOON can be arranged in 60 ways.