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= (n!)/(r!(n-r)!)`

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


`10C4= (10!)/(4!(10-4)!) \\ \\ = (10!)/(4!*6!) \\ \\ =210`

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