SOLUTION: how many 3-letter words can be made from the letters MATH if repetition of letters is allowed? repetition of letters is not allowed?

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Question 1170759: how many 3-letter words can be made from the letters MATH if
repetition of letters is allowed?
repetition of letters is not allowed?

Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
how many 3-letter words can be made from the letters MATH if
repetition of letters is allowed?
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Assuming you mean a combination of letters, not words.
eg, MHT is not a word.
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Each selection is 1 of 4.
---> 4*4*4
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repetition of letters is not allowed?
1 of 4, then 1 of 3, then 1 of 2.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

It's asking if losing the letters M , A, T and H how many three letter words can we form using that?
So for a we are allowed to repeat were allowed to repeat this letter.
As our first letter, we're gonna go ahead and multiply it by the number of possibilities in our for our second letter.

if repetition of letters is allowed, there's four possibilities for the first letter, there's four possibilities for the second letter, and four possibilities for the third letter
multiply all of that:+4%2A4%2A4=+64 possibilities

if repetition+of letters is not+allowed, you can use three distinct letters in
4%2A3%2A2=24+possibilities