Question

How many three letter words can be made from 10 letters if repetition is allowed?

Answer 1

Presuming we don't care how to pronounce the words and they can repeat we have 

10 possible for the first position
10 possible for the second position
10 possible for the third position

So: 10 x 10 x 10 = 10^3 or 1,000 possible words 

Answer 2

1000 words can be made using 10 letters if repetition is allowed.

What is permutation and combination?

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

Number of letters = 10

For first position, number of ways = 10

For second position, number of ways = 10

For third position, number of ways = 10

Total ways = 10×10×10 = 1000

Thus, 1000 words can be made using 10 letters if repetition is allowed.

Learn more about permutation and combination here:

https://brainly.com/question/2295036

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