From 5 people, how many committees can be made with a) exactly 3 people, b) at least 3 people?

Question

anonymous · Answer

a.5c3

anonymous · Answer

is it how many committees or in how many ways a commitee is formed?

akashdeepdeb · Answer

This is a Combinations problem because they want to know
How Many COMMITTEES can be made and not in How Many WAYS can it. :D

So the first one has 3 people to be SELECTED from 5 people

So the first  answer should be: 
$$^5C_3$$

And for the second part
There can be 3 people OR 4 people OR all the 5 people.

So the number of committees would be the selection of all the three added up.

So it'd be

$$^5C_3~~ ~~OR~~~~ ^5C_4~~~~~ OR~~~~ ^5C_5$$
$$^5C_3~~ ~~+~~~ ^5C_4~~~~~ +~~~~ ^5C_5$$

Understood? :)

anonymous · Answer

@AkashdeepDeb  : that's perfect... :)

akashdeepdeb · Answer

:)

anonymous · Answer

huhhh