# 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.