Question

Seven athletes are participating in a race. In how many ways can the first three prizes be won ?

• A. 210
• B. 214
• C. 212
• D. 200

Answer 1

The correct option is A 210

The total number of ways in which first three prizes can be won is the number of arrangements of seven different things taken 3 at a time.

So, required number of ways = $7_{P_3}=\frac{7!}{(7-3)!}=\frac{7!}{4!}=7\times 6\times 5=210$