Computing Binomial Coefficients C(n, r)

On the right is a bag of 10 marbles with 7 of them visible.
Q How many possible sets of 7 marbles are there?
A The number of possible sets of 7 marbles is called C(10, 7). Other notations for it are10C7 and
We can compute C(m, n) either by hand or using technology. Here are some examples to illustrate by-hand computation.

Computing C(10, 7) by hand

More Examples

Some Special Cases:

Computation Utility:

To compute C(n, r), j ust enter n and r and press "Compute". The answer will appear after the equals sign.
C( , ) =

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