00:01
So our question says a committee of six persons is to be selected randomly from a group of eight men and 12 men.
00:06
So we are supposed to solve the following question.
00:08
So we have a group that has eight men and 12 women.
00:12
So meaning in total, meaning in total rather, we have a total of 20 people.
00:19
So we want to form a six -man committee.
00:22
We need to form a six -man committee.
00:27
So this is what we need to form.
00:28
So the possible first thing first, the first question says, what's probability that? the committee consists of all women first question says probability that everybody consists of all women and this probability is going to be that the probability that are the number of of ways we can have all women over the total number of ways of selecting a six -man committee total outcome total number of ways of selecting a six -man committee so the number of selecting so the number of ways of selecting a six -man committee is actually 20 combination six so our total outcome which is n is actually 20 combination 6 and if you use a calculator we are that 20 combination 6 gives us 38 ,760 ways so if we want to select a total of six people from a total of 20 people then we are going to be doing it in 3 38 ,760 ways so we want to form a six -man committee.
01:44
All -women.
01:44
For us to have all -women, zero -men.
01:47
So it simply implies that we have six women and zero men.
01:55
So we have zero men.
01:56
So this is what it simply means for our first person, all -women...