a committee of 9 peoples is to be form from 4 teachers, 5 doctors and 6 lawyers. if 3 members if each profession are to serve in the committee. how many ways can be selected

Answer 1

To find the number of ways the committee can be selected, we need to calculate the combinations of selecting 3 members from each profession.

Number of ways to select 3 members from 4 teachers = 4C3 = 4
Number of ways to select 3 members from 5 doctors = 5C3 = 10
Number of ways to select 3 members from 6 lawyers = 6C3 = 20

Therefore, the total number of ways to select the committee is: 4 * 10 * 20 = 800

So, there are 800 ways to form the committee with 3 members from each profession.