Class 11

Math

Algebra

Permutations and Combinations

If there are n students and r prizes (r < n), then they can be given away

(i) in $n_{r}$ ways when a student can receive any number of prizes

(ii) in $n_{r}−n$ ways when a student cannot receive all the prizes.

- True
- False

this includes $n$ cases where anyone particular receives all prize

so $n_{r}$ $−n$ where a student can not receive all prizes