00:01
Hello, i am your teacher for this question and our question says that there are seven women and four men.
00:06
How many ways there to choose six people if there must be at least two men? there must be at least one woman and at least one man.
00:15
All right.
00:16
So there are seven women and four men.
00:19
Seven women and four men are given or being said seven women and four men are there.
00:27
Then and after how many ways are there to? choose six people we need to select six people out of them all right then we have a as there must be at least two men so at least two men so two men and four women can be there three men at least two men so you will be writing three men and three women can be there then and after four men four men or two women can be there so we have in all four men all right four men is there.
01:04
So 4c2 times you need to select for women also.
01:08
So out of 7 there will be 4 selected.
01:11
So 7c4 plus of 4c3, 7c3 plus of 4c4 7c2.
01:20
All right.
01:21
So you will be writing that 4c2 can be written as 4 into 3 divided by 2 into 1 multiplied with 7, 6, 5, 4, 4, 3, 4, 3, 2, 1 plus of 4 times 7, 6, 5, 3, 2, 1 plus of 1 times 7 c2 can be written as 7 into 6 by 2 into 1.
01:48
So i will be writing this as that 4 3, 2 2 can be cancelled here, 2 2 is 4, 2 .6 can be cancelled here 2 2 .4 will be cancelled here, 3 to just 6 can be cancelled here then and after 2 3x0.
02:00
So 7 .321 will be here.
02:04
7 .5 .35 .35 .4s are.
02:06
So 35 .40 can be written here.
02:09
Plus of here it can be written as.
02:12
That is 7 .5s are 35.
02:14
35.
02:14
35.
02:15
6s are 210.
02:16
So 210 .140.
02:19
So you will be writing 350 plus 21...