A bag contains 3 yellow, 4 white, and 8 blue marbles. How many samples of 2 marbles are possible?

Your school subject is NOT Crestwood!

To find the number of possible samples of 2 marbles, we can use the combination formula.

The combination formula is given by:

C(n, r) = n! / (r!(n - r)!)

Where:
- n is the total number of marbles in the bag
- r is the number of marbles selected

In this case, we have:
- n = 3 (yellow marbles) + 4 (white marbles) + 8 (blue marbles) = 15
- r = 2 (marbles selected)

Plugging these values into the formula, we can calculate the number of possible samples:

C(15, 2) = 15! / (2!(15 - 2)!)
= 15! / (2!13!)
= (15 * 14 * 13!) / (2! * 13!)
= (15 * 14) / (2 * 1)
= 210 / 2
= 105

Therefore, there are 105 possible samples of 2 marbles from the bag.