Respuesta :

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

The formula for nCr is:

[tex]nCr= \frac{n!}{r!(n-r)!} [/tex]

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

[tex]10C4= \frac{10!}{4!(10-4)!} \\ \\ = \frac{10!}{4!*6!} \\ \\ =210 [/tex]

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

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