Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Mia likes changing her exercise routines every week. This week she decides to ha

ID: 3216274 • Letter: M

Question

Mia likes changing her exercise routines every week. This week she decides to have three yoga days and four aerobics days. In how many different ways can she schedule yoga and aerobics for the week? One possible schedule is "yoga - Mon, Wed, Sat; aerobics - Tue, Thu, Fri, Sun". Max prefers wearing neutral colors at work. He is shopping for shirts at Wal-Mart. The shirts he likes are offered in three neutral colors - white, black, and grey. In how many ways can he select 7 shirts? One possibility is "4 black shirts, 3 white shirts, and 0 gray shirts".

Explanation / Answer

1.

Number of different ways can she schedule yoga = 7C3

Number of different ways can she schedule aerobics = 4C4

Number of different ways can she schedule yoga and aerobics for the week = 7C3 x 4C4 = 7C3 x 1 = 35 ways