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Question: The number of ways in which 200 things can be divided into 100 groups each of 2 things is...

The number of ways in which 200 things can be divided into 100 groups each of 2 things is

A

(200)!2100(100)!\frac{(200)!}{2^{100}(100)!}

B

(200)!2100\frac{(200)!}{2^{100}}

C

(200)!(100)!\frac{(200)!}{(100)!}

D

(200)!(100)!(100)!\frac{(200)!}{(100)!(100)!}

Answer

(200)!2100(100)!\frac{(200)!}{2^{100}(100)!}

Explanation

Solution

200!(2!)100\frac{200!}{(2!)^{100}} × 1100!\frac{1}{100!}