The value of 4C2 is______________.
4 * 3 * 2 *1/2 * 1 * 2* 1
= 6
or, as defined,
4! / (4-2)!2!
100% correct
To find the value of 4C2, we need to understand what the notation "4C2" means.
In combinatorics, "nCk" represents the number of ways to choose k items from a set of n items, also known as a combination.
To calculate nCk, we use the formula:
nCk = n! / (k! * (n - k)!)
where "!" denotes the factorial operation. Factorial means multiplying a number by all of the positive integers less than it.
In this case, we want to find the value of 4C2, so our formula becomes:
4C2 = 4! / (2! * (4-2)!)
Simplifying further:
4C2 = 4! / (2! * 2!)
The factorial of a number is the product of all positive integers less than or equal to that number. So, we calculate the factorials:
4! = 4 * 3 * 2 * 1 = 24
2! = 2 * 1 = 2
Plugging these values back into the formula:
4C2 = 24 / (2 * 2) = 24 / 4 = 6
Therefore, the value of 4C2 is 6.