A tailor designed three pairs of pants (P1, P2, and P3) and five tops (T1, T2, T3, T4, and T5) to create outfits. How many different outfits can the tailor create? Consider making a tree diagram or a table to help find the answer.

The tailor can create___ outfits.

15 outfits

Step-by-step explanation:

We have 3 possibilities for pants and 5 possibilities for tops.

The tailor has 3 possible pants to choose from and 5 possible tops to choose from. Using the Fundamental Counting Principle, we can simply multiply these two together to get the total number of possible outfits:

3 * 5 = 15 outfits

Or, we could make a tree diagram. See attachment. It will give the same answer.

step-by-step explanation:

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation: