Get 2 FREE Instant-Explanations on Filo with code FILOAPP

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

Question

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

Views: 708 students

Found 3 tutors discussing this question

William Discussed

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.

11 mins ago

Discuss this question LIVE

11 mins ago

Text solutionVerified

Total way to distribute prize=

n^{r}

this includes

n

cases where anyone particular receives all prize

n^{r}

- n

where a student can not receive all prizes

Was this solution helpful?

150

Report

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our maths tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	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.
Answer Type	Text solution:1
Upvotes	150