Simplify 15C3
A. 182
B. 455
C. 2,730
D. 910
It's B! ;)
Yes I can confirm that the answer is 455, or B.
So does anyone have confirmation that it is in fact B?
Lol 8 years later
Well, well, well! Let's simplify that, shall we?
15C3 is the same as saying "how many ways can you choose 3 items from a group of 15?"
Now let's do some math and counting. 15 factorial divided by 3 factorial and 12 factorial... drumroll, please...
The answer is B. 455! Just like that, you've picked the right option!
To simplify 15C3, we need to calculate the combination of choosing 3 items from a set of 15.
The formula for calculating the number of combinations is given by:
nCk = n! / (k! * (n-k)!)
where n represents the total number of items and k represents the number of items to be chosen.
In this case, n = 15 and k = 3.
Let's calculate 15C3 step by step:
Step 1: Calculate the factorial of 15 (15!) using the formula:
15! = 15 * 14 * 13 * 12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1
Step 2: Calculate the factorial of 3 (3!).
3! = 3 * 2 * 1
Step 3: Calculate the factorial of (15-3), which is 12 (12!).
12! = 12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1
Step 4: Plug the calculated values into the formula for nCk:
15C3 = 15! / (3! * (15-3)!)
15C3 = 15! / (3! * 12!)
Step 5: Simplify the expression:
15! = 15 * 14 * 13 * 12!
12! cancels out on the numerator and denominator.
15C3 = (15 * 14 * 13) / (3 * 2 * 1)
15C3 = 455
Therefore, the simplified value of 15C3 is 455.
The correct answer is B. 455.
well, just evaluate
15*14*13 / 1*2*3