Question

Eight students compete in the race. In how many ways first three prizes be given?

• A. $336$
• B. $663$
• C. $360$
• D. $512$

Answer 1

The correct option is A $336$

Given that eight students participated in the race. We have to give first second and third prize to those students.


For giving first prize there are $8$ possible ways.

For second prize there are $7$ possible ways.

Third prize can be given in $6$ possible ways.

Also, we have to give first "and" second "and" third prize to students.

We know that "and" signifies multiplication, So number of ways of giving prizes $=8\times 7\times 6=336.$