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Question

In how many ways can a student choose 6 courses out of 10 courses?

A
5040
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B
210
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C
6!
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D
6!3!
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Solution

The correct option is B 210
We know that number of ways of selecting "r" things out of "n" things at a time is equal to nCr=n!(nr)!×r!.

According to question student have to select 6 courses out of 10 courses.

Number of ways of doing that is 10C6=10!(106)!×6!=10!4!×6!

10C6=10×9×8×7×6!24×6!=504024=210

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