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I'm a bit thick-headed I guess and I cannot seem to figure out why my answer to this question is wrong.

I need to figure out the number of ways to obtain a straight in a deck of 52 cards (I do not need to ignore straight-flushes or royal flushes).

Note: a hand of 5 cards is used

My answer was to choose 1 card from a deck of 52 cards and then restrict the next 4 cards to one of 4 possible cards (one for each suit).

So, in short:

_{52}C_{1}* (_{4}C_{1})^4

which is wrong. Can anybody explain to me why I am wrong. I'm a-Ok with calc 1-4 and graph theory, but counting theories have never been by favorite, even as a kid. Thanks for the help

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# Number of possible Straights in a deck of 52 cards

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