Since the stimulate does no matter, the systems is obtained through a mix where we choose "r of n", whereby r is the quantity of points we choose and also n the total variety of things that can be chosen.

You are watching: In how many ways can a committee of 4 be chosen from a group of 9 people?

In the provided case,

r = 4

n = 9

The combinations form uses factorial numbers. This is the formula:

*

The factorial role (symbol:!) means that to decrease numbers room multiplied come 1.

We substitute the worths in the equation and get

*

*

*

*

*

9C4 = 126

Therefore, there are 126 ways to select a committee the 4 indigenous a team of 9 people.

Hope this helps!


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QveST <7>10 months ago
3 0
Since this is a mix not a permutation problem, (order does no matter) you have to use the "n pick k" formula.C=n!/(k!(n-k)!) wherein C is the variety of unique combinations, n amounts to the total number of possible choices and k equates to the specific variety of choices. In this case:C=9!/(4!(9-4)!)C=9!/(4!5!)C=362880/(24*120)C=362880/2880C=126So there room 126 distinctive ways to choose 4 world from a group of 9 people.
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