What is the value of 10C6?
(How go get it?)
10C6 = 10! / (6! * 4!) = 10 * 9 * 8 * 7 / 4! = 5040/24 = 210
hope this helps
well no problem!
I could not have gotten this without your help. I kept getting 5040.
What you had was 10P4 = 5040
10P6 = 10*9*8*7*6*5
10P4 = 10*9*8*7
So, you can see why 10C6 = 10C4
What is the value of the expression 6P2
Bhakk madrchod
To find the value of 10C6, we need to use the combination formula. The combination formula is given by:
nCr = n! / (r!(n-r)!)
In this case, n = 10 and r = 6.
So, we can calculate 10C6 as follows:
10C6 = 10! / (6!(10-6)!)
= 10! / (6! * 4!)
Now, to simplify the calculation, we can expand the factorials:
10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1
6! = 6 * 5 * 4 * 3 * 2 * 1
4! = 4 * 3 * 2 * 1
Substituting these values into the combination formula:
10C6 = (10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) / ((6 * 5 * 4 * 3 * 2 * 1) * (4 * 3 * 2 * 1))
After cancelling the common terms in the numerator and denominator:
10C6 = (10 * 9 * 8 * 7) / (6 * 5 * 4 * 3 * 2 * 1)
Calculating this value gives:
10C6 = 210
So, the value of 10C6 is 210.