you own 5 pair of jeans and you want to take 2 pair of the
jeans on your vacation. How many different combinations of two jeans can you make?
There are 10 different combinations of two jeans that you can make from a total of 5.
To find out, you can use the combination formula, which is:
n! / r!(n-r)!
Where n is the total number of items and r is the number to choose.
So for this problem, n = 5 and r = 2.
Plugging these values into the formula, we get:
5! / 2!(5-2)!
= 5! / 2!3!
= (5 x 4 x 3 x 2 x 1) / (2 x 1 x 3 x 2 x 1)
= (120) / (12)
= 10
Therefore, you can make 10 different combinations of two jeans from a total of 5.