00:01
Hello students, in this question we have to evaluate the factorials and the notations.
00:05
Now in the first question we have given 8 factorial.
00:10
Now we know that the formula for the n factorial is n into n minus 1 into n minus 2 into this is up to 1.
00:22
So by using this formula we will get 8 factorial is equal to 8 into 7 into 6 into 5 into 4 into 3 into 2 into 1 and that is equal to 40320.
00:40
Then in the second question we have to evaluate 6 factorial divided by 3 factorial.
00:47
So now this is equal to 6 into 5 into 4 into now this we can simply end it to 3 factorial and divide by 3 factorial as 3 factorial 3 factorial will get cancelled and this is equal to 6 into 5 into 4 which is equal to 120.
01:09
Then third one is 9 minus 5 factorial and that is equal to 4 factorial which is equal to 4 into 3 into 2 into 1 which is equal to 24.
01:23
Then in the next question we have to evaluate 6 minus 1 factorial divided by 2.
01:30
So this is equal to 5 factorial divided by 2 and that is equal to 5 into 4 into 3 into 2 into 1 divided by 2 which is equal to so this is 60.
01:44
Then next we have to evaluate 7 minus 2 factorial divided by 4 factorial.
01:56
So now this is equal to 5 factorial divided by 4 factorial which is equal to 5 into 4 factorial divided by 4 factorial and that is equal to 5...