5. Dave has work shirts in 5 different colors. He works three days each week. How many possible arrangements are there for the shirts each week?
A. 15
B. 60
C.120*
D.125
Can someone please help me.
nevermind it is 60....
Order matters... once he has worn a shirt it is used up for the week.
so... if the slots represent the days of the week _____ x ______ x ______
In the first slot (the first day of the week), he has 5 choices
= __5 __ x ___ x ___
but then that shirt is used up so the second day he only has 4 choices
= 5 x 4 x ___ then that shirt is used up, so the final day of the week that he works he only has three choices
= 5 x 4 x 3
= ...
You are correct : )
At least answer the question, it’s 60
1. 5!, 6P3
2. 24
3. 90
4. 720
5. 60