Evaluate the given expression and express the result using the usual format for writing numbers (instead of scientific notation). 32C2=
To evaluate the given expression 32C2, we need to calculate the combination of 32 objects taken 2 at a time.
The formula for combination is given by:
nCk = n! / (k! * (n-k)!)
Here, n represents the total number of objects (32 in this case), and k represents the number of objects chosen (2 in this case).
"!" denotes a factorial, which means multiplying a number by all the positive whole numbers less than it.
So, let's substitute the values into the formula:
32C2 = 32! / (2! * (32-2)!)
Calculating the factorials:
32! = 32 * 31 * 30 * ... * 3 * 2 * 1
2! = 2 * 1
(32-2)! = 30 * 29 * ... * 3 * 2 * 1
Now, we can simplify the expression:
32C2 = 32! / (2! * 30!)
= (32 * 31 * 30!) / (2 * 1 * 30!)
= (32 * 31) / 2
= 992
Therefore, the result of 32C2 is 992.