Answer:
Number of different ways can she spend her Saturday = 54
Step-by-step explanation:
Jane has to do three types of things - Work out , Eat and Read a book
In Work out -
She either lift weights, run, or hike
In Eating -
She will choose 1 of the 6 restaurants near her home
In Reading -
Read either Harry Potter, Catcher in the Rye, or Girl on the Train
Number of ways in which she can work put = ³C₁ = [tex]\frac{3!}{1! (3-1)!} = \frac{3!}{2!} = 3[/tex]
Number of ways in which she can eat = ⁶C₁ = [tex]\frac{6!}{1! (6-1)!} = \frac{6!}{5!} = 6[/tex]
Number of ways in which she can read = ³C₁ = [tex]\frac{3!}{1! (3-1)!} = \frac{3!}{2!} = 3[/tex]
So, Total number of ways = 3×6×3 = 54
