Question

# The number of ways in which $$52$$ cards can be divided into $$4$$ sets of $$13$$ each is

A
52!(13!)4
B
52!4!(13!)4
C
52!413
D
52!13!413

Solution

## The correct option is B $$\displaystyle \frac{52!}{4!(13!)^4}$$Total number of cards $$=4\times 13=52$$Assuming all the cards are of different type.Required number of ways is $$=\cfrac{52!}{13!.13!.13!.13!.4!}=\cfrac{52!}{(13!)^4 4!}$$Maths

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