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Question

How do you evaluate C310?


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Solution

Evaluating the expression C310 :

As we know, a combination is a grouping or subset of items.

We will evaluate the given expression C310 by using the combination formula.

The order does not matter in a combination.

So,

Cn,r=Crn

Crn=n!n-r!r!

Here, n is the number of items in the set and r is the number of items selected from the set.

C310=10!10-3!×3!

10×9×8×7×6×...×17×6×...×1·3×2×1

10×9×83×2×1

C310=120

Hence, the value of C310 is 120.


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