What is the value of 10C6?

Question

An abstract illustration that visually represents the concept of combinations in mathematics. Show a set with 10 distinct objects, perhaps of various geometric shapes, then indicate a selection of 6 of these objects. Note that the objects within the selection may be highlighted or visually distinct in some way, and the selection should emphasize the idea that the arrangement of the selected objects does not matter. Please ensure there is no text present in the image.

What is the value of 10C6?

(How go get it?)

Answer 1

10C6 = 10! / (6! * 4!) = 10 * 9 * 8 * 7 / 4! = 5040/24 = 210

hope this helps

Answer 2

well no problem!

Answer 3

I could not have gotten this without your help. I kept getting 5040.

Answer 4

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

Answer 5

What is the value of the expression 6P2

Answer 6

Bhakk madrchod

Answer 7

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.