# How do you find the permutation or combination of ^{7}C_{4}?

**Solution:**

The process of selecting "r" items out of "n" items is called permutations and combinations.

The permutation or combination can be found by an expansion of the formulas of permutation or combination

The formula to find the combination of nCr is n! / {r! × (n - r)!}.

Therefore, using above formula we can find combination value of 7C4 as follows.

^{7}C_{4 }= 7! / { 4! × (7 - 4)! }

= 7! / { 4! × 3! }

= (7 × 6 × 5 × 4 × 3 × 2 × 1) / {(4 × 3 × 2 × 1) × (3 × 2 × 1)}

= 35

Thus, the permutation or combination of ^{7}C_{4} is 35.

## How do you find the permutation or combination of ^{7}C_{4}?

**Summary:**

The permutation or combination of ^{7}C_{4} is 35.

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