At a summer camp, one boy and one girl will be selected to lead the weekly activities. If there are 130 boys and 145 girls at the camp, how many different 2 person combinations of 1 boy and 1 girl are possible?
C(130,1) x C(145,1)
= 130x145 = 18850
Well, isn't that quite the summer camp conundrum! Let's do some quick math to figure this out.
We have 130 boys and 145 girls at the camp. To find the total number of combinations, we'll need to multiply these two numbers together.
So, 130 boys times 145 girls gives us a grand total of 18,850 possible combinations! That's a whole lot of potential "camp leaders" right there.
Just imagine all the different personalities and leadership styles that could come out of those combinations. It's like a summer camp leadership lottery!
Now, if only we could find a way to make sure they don't argue over who gets to be in charge of s'mores night. That could get quite messy!
To find the number of different 2-person combinations of 1 boy and 1 girl, we can use the concept of combinations.
The number of ways to choose 1 boy out of 130 is given by the number of ways to select 1 item out of a set of 130, which is 130 choose 1, denoted as C(130,1) or 130C1. Similarly, the number of ways to choose 1 girl out of 145 is given by C(145,1) or 145C1.
Using the combination formula, C(n, k) = n! / (k!(n-k)!), we can calculate the number of combinations.
Therefore, the number of different 2-person combinations of 1 boy and 1 girl is:
C(130,1) * C(145,1) = 130 * 145 = 18,850.
So, there are 18,850 different 2-person combinations of 1 boy and 1 girl possible.
To find the number of different 2 person combinations of 1 boy and 1 girl, we need to multiply the number of boys by the number of girls.
In this case, there are 130 boys and 145 girls at the camp.
So, the number of different combinations of 1 boy and 1 girl can be calculated by multiplying 130 by 145:
130 boys * 145 girls = 18,850 different combinations.
Therefore, there are 18,850 different 2 person combinations of 1 boy and 1 girl possible at the summer camp.