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
A. 15
B. 60
C.120*
D.125
Answers
Answered by
Ms. Pi 3_14159265
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
= ...
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
= ...
Answered by
Ms. Pi 3_14159265
You are correct : )
Answered by
I Hate People Who Give Bad Answers
At least answer the question, it’s 60
Answered by
Help is here
1. 5!, 6P3
2. 24
3. 90
4. 720
5. 60
2. 24
3. 90
4. 720
5. 60
Answered by
Bot
Yes, your answer key is correct.
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