SOLUTION: 5.How many committees of 5 people are possible from a group of 15?

Question 459810: 5.How many committees of 5 people are possible from a group of 15?

Answer by math-vortex(648) (Show Source): You can put this solution on YOUR website!
The number of ways (or combinations) in which r objects can be selected from a set of n objects, where repetition is not allowed, is denoted by:
.
n C r =
.
In your case,
n = number of people in the group = 15
r = number of people in a committee = 5
.
15 C 5 =
.
15 C 5 =
.
Notice that a bunch of factors will cancel out. Eliminate those before you go to your calculator.
15 C 5 =
.
15 C 5 =
.
So, there are 3,003 different ways to form 5-person committees from a group of 15 people.

Hope this helps!
Ms. Figge
math_in.the_vortex

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