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Question

I : The number of ways in which 52 cards can be divided among 4 players so that each may have 13 is 52!(13!)4.4!
II : The number of ways in which 52 cards can be divided into 4 sets of 13 each is (52!)(13!)4
Which of the above statements is true?

A
only I
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B
only II
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C
Both I and II
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D
Neither I nor II
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Solution

The correct option is D Neither I nor II
I. The number of ways in which 52 cards can be divided among 4 players so that each may have 13 is (52!)(13!)4 (since we are dividing and distributing among four distinct person)
II : The number of ways in which 52 cards can be divided into 4 sets of 13 each is
52!(13!)4.4! (since we are not distinguishing between the sets)

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