Question

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

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

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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