Question

A hair studio offers special Uchoose 2 Deal, with either haircutting and coloring, or haircutting and perm. If the studio offers 7 haircutting styles, 6 colorings, and 12 perms, how many possible choice as Uchoose 2 deal are three?

Answer 1

The number of possible choices for the Uchoose 2 Deal is 102.

Step-by-step explanation:

To calculate the number of possible choices for the Uchoose 2 Deal, you need to multiply the number of options for each category. In this case, there are 7 choices for haircutting and 6 for coloring or perm. Since you need to choose 2 items, you can use the combination formula.

The formula for combinations is given by nCr = n! / (r!(n-r)!), where n is the total number of choices and r is the number of items you need to choose.

Using the formula, the number of possible choices for the Uchoose 2 Deal is 7C2 + 6C2 + 12C2 = 21 + 15 + 66 = 102.