00:01
Hi, in this question, given that there are 10 boys and 12 girls, we have to consider the number of ways to choose the at most 2 girls.
00:09
So, we have to consider 3 cases.
00:11
Case 1 is 2 women are selected and 2 men are selected.
00:14
So, number of ways to choose women as 12c2 which is solved by using the formula nc or equal n factorial divided by n minus or the whole factorial into r factorial.
00:25
So, which can be written as 12 factorial divided by 12 minus 2 which is 10 factorial into 2 factorial.
00:32
On solving this, we get 66.
00:34
Similarly, number of ways to choose men as 2 as 10c2 which is 45.
00:41
Hence, conclude that total number of ways is 45 into 66 which is equal to 2970.
00:47
Next, move on to case 2.
00:49
1 woman is selected.
00:50
So, 12c1 which is equal to 12...