SOLUTION: Use either the fundamental counting principle or the permutation formulas (or both) to answer the following: Using the letters of the word YOUNG, tell how many different 5-let

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Question 146353: Use either the fundamental counting principle or the permutation formulas (or both) to answer the following:

Using the letters of the word YOUNG, tell how many different 5-letter combinations are possible if:
the first letter must be Y
Answer by Electrified_Levi(103) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, Hope I can help,
.
Using the letters of the word YOUNG, tell how many different 5-letter combinations are possible if:
the first letter must be Y
There is only one combination, but I think you mean "how many permutations are possible?"
This is the formula for permutation
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n%21%2F%28n+-+k%29%21+
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Where "n" is how many choices there are, "k" is how many choices can be used at a time.
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The "!" means you multiply all numbers down to 1.
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Example: +6%21+=+%286%29%285%29%284%29%283%29%282%29%281%29
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In our problem, there are only four choices, since "Y" has to stay where it is, it can't move, It will always have to be the first letter
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We can use all the letters except "Y" , so we can use all four choices. Both "n" and "k" are 4.
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We can replace "n" and "k" with 4
4%21%2F%284+-+4%29%21+
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4%21%2F+0%21+
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0! is equal to 1
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%284%29%283%29%282%29%281%29%2F1+
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+24%2F1+
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The answer is 24, There are 24 different possibilities.
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Hope I helped, Levi