simplify: 10^C6
a) 60
b) 210
c) 151,200
d) 1,000,000
c
I don't know what C means, but
106 is one million
thanks bobpursley i don't know either
To simplify the expression 10^C6, we need to evaluate it. In this case, C represents the binomial coefficient, which calculates the number of ways to choose a combination of "C" items from a set of 6 items.
The formula for the binomial coefficient is:
C(n, k) = n! / (k!(n-k)!)
In this case, we have C6, which means we want to choose 6 items from a set of 6 items. Applying the formula, we get:
C(6, 6) = 6! / (6!(6-6)!)
Simplifying further:
C(6, 6) = 6! / (6! * 0!)
The factorial of a number is the product of all positive integers less than or equal to that number. The factorial of 0 is defined as 1.
Therefore:
C(6, 6) = 6! / (6! * 1)
Since any number divided by itself is 1, we can cancel out the factorials:
C(6, 6) = 1
Now we can simplify 10^C6 as 10^1.
Any number raised to the power of 1 is equal to the number itself. Therefore:
10^C6 = 10^1 = 10
So the simplified expression 10^C6 is equal to 10.
Therefore, the correct answer is not among the options provided.