Question

There are 10 males and 18 females in the Data Management class. How many different committees of 5 students can be formed if there must be 3 males and 2 femalesA: 18360B: 2600C: 98280D: 15630

Answer 1

A: 18360

Step-by-step explanation:

The number of ways of combinations to select x people from a group of n people is calculated as

`\text{nCx}=(n!)/(x!(n-x)!)`

Since we need to form committees with 3 males and 2 females, we need to select 3 people from the 10 males and 2 people from the 18 females, so

`10C3*18C2=(10!)/(3!(10-3)!)*(18!)/(2!(18-2)!)=120*153=18360`

Therefore, there are 18360 ways to form a committee.

So, the answer is

A: 18360