Evaluate the given expression.
C(9,3)
Do it the same way as the one below
9! / [ 3! * 6!]
To evaluate the expression C(9,3), we need to calculate the combination of choosing 3 items out of 9 items. The formula for combination is given by:
C(n, r) = n! / (r! * (n - r)!), where n is the total number of items and r is the number of items to be chosen.
Let's calculate C(9,3):
First, we need to calculate the factorial of 9: 9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 362,880.
Next, we calculate the factorial of 3: 3! = 3 x 2 x 1 = 6.
Then, we calculate the factorial of (9 - 3) = 6: 6! = 6 x 5 x 4 x 3 x 2 x 1 = 720.
Finally, substitute the values in the combination formula: C(9,3) = 362,880 / (6 * 720) = 84.
Therefore, the value of C(9,3) is 84.