SOLUTION: how many ways are there to arrange 5 cards out of 52 cards in a row such that the first is a 6 or the last is a 6 ?

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Question 975705: how many ways are there to arrange 5 cards out of 52 cards in a row such that the first is a 6 or the last is a 6 ?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First card is a six,
N=1%2A51%2A50%2A49%2A48
There are four of these, one for each suit.
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Last card is a six,
N=51%2A50%2A49%2A48%2A1
Similarly there are four of these.
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Then there are 16 outcomes where both the first and last values are 6, we count these so we don't double count them above.
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N%5Btot%5D=8%2A51%2A50%2A49%2A48-16
N%5Btot%5D=47980784