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
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.