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Question

The number of ways of dividing $$52$$ cards equally into four sets is


A
52!4!(13!)4
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B
52!(13!)4
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C
52!4(13!)4
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D
None of these
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Solution

The correct option is A $$\dfrac {52!}{4!(13!)^{4}}$$
General formula to find the number of ways the 4n things are equally distrbuted amongst 4 persons is:

$$\dfrac{4n!}{(n!)^44!}$$

$$=\dfrac{(4\times 13)!}{(13!)^44!}$$

$$=\dfrac{52!}{(13!)^44!}$$

Mathematics

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