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A standard 52-card poker deck consists of 4 suits and 13 ranks. In how many ways...

A standard 52-card poker deck consists of 4 suits and 13 ranks. In how many ways can you draw 5 cards so that they are of distinct ranks?

Math   Statistics-And-Probability   
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Answer #1

Given that, A standard 52-card poker deck consists of 4 suits and 13 ranks.

We want to find the number of ways drawing 5 cards of distinct ranks.

So, out of 13 ranks we can select any 5 ranks by,

ways and for each rank chose 1 of 4 suits by ways.

Therefore,

There is total 1287*4 = 5148 ways to draw 5 cards so that they are of distinct ranks.

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