In how many ways can three different awards be distributed among the 17 people in our school, if a.) No student may receive more than one award? B) there is no limit on the number of awards won by one student?   Explain please

Expert Answers

An illustration of the letter 'A' in a speech bubbles

a) You need to use the formula for the number of ways of choosing r items/people from n items/people

`C(n,r) = (n!)/(r!(n-r)!)`

We say 'n choose r'

Here `n=17` and `r=3` so the number of ways is

`C(17,3) = (17!)/(3!14!) = (`

Cancelling on the top and bottom...

(The entire section contains 109 words.)

Unlock This Answer Now

Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Start your 48-Hour Free Trial
Approved by eNotes Editorial Team

Posted on