C(7,3). formula?
7!/(3!4!)
The formula for the combination, denoted as C(n, r), is given by:
C(n, r) = n! / (r! * (n - r)!)
In the case of C(7, 3):
C(7, 3) = 7! / (3! * (7 - 3)!)
To calculate the value, we need to find the factorial of each number involved and then apply the formula.
The factorial of a number is obtained by multiplying all the positive integers less than or equal to that number.
In this case,
7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5040
3! = 3 * 2 * 1 = 6
(7 - 3)! = 4! = 4 * 3 * 2 * 1 = 24
Substituting these values into the formula:
C(7, 3) = 5040 / (6 * 24)
Simplifying further:
C(7, 3) = 5040 / 144
Finally, performing the division:
C(7, 3) = 35