00:01
It is given that in a group there are 10 women let us represent them as w and 6 men let us represent them as m.
00:11
And from this 16 people we have to select 5 people to form a committee.
00:20
Thus the total number of ways of selecting this is selecting 5 people from 16 people which is.
00:30
Is 16c 5 and in part a we have to find the probability of selecting 3 women and 2 men which is the number of ways of selecting 3 women from 10 women is 10c 3 into the number of ways of selecting 2 men from the 6 men is 6 c 2 divided by the total number of ways of selecting 2 of 16 c5.
01:01
Simplifying this gives 120 into 15 divided by 4368.
01:09
Simplifying this gives 0 .4121.
01:16
In another party question we have to find the probability of selecting 4 women and 1 men.
01:26
Now the number of ways of selecting 4 women from the 10 women is 10 c4.
01:32
Into the number of ways of selecting 1 men from the 6 minus 6c1 divided by the total number of ways of 16c5.
01:42
Simplifying this gives 2 .10 into 6 divided by 4368.
01:49
Simplifying this would give 0 .2 double 85...