Question

Evaluate 10C4. Type a numerical answer in the space provided. Do not type spaces in your answer.

Answer 1

10C4 represent the Combinations of 10 objects taken 4 at a time. 

The formula for nCr is:

$nCr= \frac{n!}{r!(n-r)!}$

In the given case, n=10 and r=4. Using these values we get:

$10C4= \frac{10!}{4!(10-4)!} \\ \\ = \frac{10!}{4!*6!} \\ \\ =210$

This means we can make 210 combinations of 10 objects taken 4 at a time.