Evaluate little 9 C little 9
9C9
=9!/(9!(9-9)!)
=1
To evaluate 9 C 9, also known as "9 choose 9" or "9 combination 9", you can use the formula for combination:
n C r = n! / (r! * (n - r)!)
In this case, n = 9 and r = 9. Let's substitute these values into the formula:
9 C 9 = 9! / (9! * (9 - 9)!)
Now, let's simplify the equation:
9! = 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1
9! = 362,880
(9 - 9)! = 0!
Since any number raised to 0 is equal to 1, we have:
(9 - 9)! = 1
Now, let's substitute the values back into the equation:
9 C 9 = 362,880 / (362,880 * 1)
9 C 9 = 1 / 1
9 C 9 = 1
Therefore, 9 C 9 is equal to 1.