00:01
We are to, we are given that of the first 10 questions on a set on a test, the student must answer 6.
00:07
And of the second 5 questions, student must answer 4.
00:10
So in how many ways can this be done? so definitely out of the first, out of the first 10 questions, let's say that out of the first 10 questions, he can choose any 6 and he has to answer it.
00:21
So the number of ways of answering all six is definitely just one because he has to answer all.
00:25
And so this is we have and ruled so we have to multiply them so that's why i'm placing a dot which means multiplication.
00:34
Our next five he has to answer four of them.
00:38
So this is that these are the total number of ways.
00:41
So 10c6 is nothing but 10c6 is nothing but 210.
00:47
5 c4 is nothing but five and 210 times five is 1 ,000.
00:56
We also have to pick which option among these is the correct.
01:05
So 10c4, another way to write 10c4 will be factorial 10 over factorial 6 times factorial 4 times factorial 5 times factorial 4 times factorial 5 minus 4.
01:20
That's another way.
01:21
So i'm also going to write this 4 as factorial 10 minus 6, 10 minus 6 factorial.
01:27
Way.
01:28
Let's look at the options.
01:30
This is not a correct choice.
01:32
Factorius, this seems to be the correct choice matching exactly with this expression.
01:37
So this is the right choice...