Question

Your chores for the week are to cut the grass, wash the car, clean your room, clean the garage, and shine your shoes. You are to do 1 chore each day from Monday through Friday. You can do each chore on whatever day you want, except that you must wash the car either Thursday or Friday. In how many different orders can you perform your chores?

Answer 1

The chores

cut the grass

wash the car -- Thursday or Friday

clean your room

clean the garage

shine your shoes

We have 5 days in the week to do the chores.

$\begin{gathered} 2*\mleft(4*3*2*1\mright)=48 \\ \end{gathered}$

You can perform the chores in 48 different orders