Mathematics: How many ways can you pick 4 students from 10 students (6 men, 4 women)?

10/3 reduced to 3 1/3 Step-by-step explanation: Sry This is VERY late...

How many ways can you pick 4 students from 10

bazsinghnagoke

15.03.2022

There are 210 ways in which you can pick 4 students from 10 students (6 men, 4 women).

Step-by-step explanation:

We use the combination formula because the order does not matter.

For example, John, Laura,... is the same way as Laura, then John, then ...

Combinations formula

$C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this problem, we have that:

Combinations of 4 students from a set of 10. So

$C_{10,4} = \frac{10!}{4!(10-4)!} = 210$

There are 210 ways in which you can pick 4 students from 10 students (6 men, 4 women).

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