A tea expert claims that he can easily find out whether milk or tea leaves were added first to water just by tasting the cup of tea. In order to check this claims 10 cups of tea are prepared, 5 in one way and 5 in other. Find the different possible ways of presenting these 10 cups to the expert.

A. 252

B. 240

C. 300

D. 340

Answer: Option A

Solution(By Examveda Team)

Since, there are 5 cups of each kind, prepared with milk or tea leaves added first, are identical hence, total number of different people ways of presenting the cups to the expert is,
$$\eqalign{ & = \frac{{10!}}{{5! \times 5!}} \cr & = 252 \cr} $$