Calculating Binomial Coefficient for c = (7)……(5): Formula, Example, and Result

Find the binomial coefficient.c= (7)……(5)

To find the binomial coefficient, you need to apply the formula for combinations, which is denoted by “n choose r” or written as C(n, r)

To find the binomial coefficient, you need to apply the formula for combinations, which is denoted by “n choose r” or written as C(n, r).

The formula for finding the binomial coefficient is:
C(n, r) = n! / (r! * (n – r)!)

In this case, you are given c = (7)……(5). The expression “(7)……(5)” means that you need to find the factorial of each number from 7 to 5.

Let’s calculate the factorial of each number first:
7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5040
6! = 6 * 5 * 4 * 3 * 2 * 1 = 720
5! = 5 * 4 * 3 * 2 * 1 = 120

Now, we can substitute these values into the formula for combinations:
C(7, 5) = 7! / (5! * (7 – 5)!)
= 5040 / (120 * 2)
= 5040 / 240
= 21

Therefore, the binomial coefficient for c = (7)……(5) is 21.

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