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.

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

1/800 is the right answer