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The number of ways of selecting 4 cards of an ordinary pack of playing cards so that exactly 3 of them
are of the same denomination is

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a
2496
b
13C3×4C3×48
c
52C3×48
d
none of these

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detailed solution

Correct option is A

We can choose one denomination in  13C1 ways, then 3 cards of this denomination can be chosenin  4C3 ways and one remaining card can be chosen in  48C1 ways. Thus, the total number of choices is 13C1 4C3 48C1=13×4×48=2496.


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