00:01
In this question we have to find out in how many ways could a group of 14 people be divided into 4 groups containing 2 ,3 ,4 and 5.
00:12
Ok, so these are the 4 groups having 2 ,3 ,4 and 5 people.
00:18
So let us see how many ways are there.
00:21
So total number of ways first we have to select 2 people out of total 14 people.
00:27
Ok, so first of all we will get, here i will write number of ways to select 2 people out of 14 people.
00:45
So it will be given by 14 choose 2.
00:48
Similarly we selected 2 people, now we are left with 14 minus 2 which is 12 people.
00:55
So out of 12 we will select 3 people.
00:59
So now we will select number of ways to select 3 out of, initially we have 14 but now we have already selected 2.
01:15
So it is equal to 12.
01:17
So i will get here 12 c 3.
01:22
Next we will choose 4 people.
01:25
So the number of ways to select 4.
01:33
Now the remaining people are out of, now we have 12 people...