Permutation vs. Combination

How many ways can you choose 15 oranges from a crate of 60?

PERMUTATION or COMBINATION? Which calculation is correct?

• $_{60}P_{15}$

• $_{15}C_{60}$

• $_{15}P_{60}$

• $_{60}C_{15}$

How many ways can you choose 6 person dodge ball team out of 20 participants?

PERMUTATION or COMBINATION? Which calculation is correct?

•  $_{20}P_6$ 

•  $_{20}C_6$ 

•  $_6P_{20}$ 

•  $_6C_{20}$ 

How many ways can you list your 4 favorite cheesecakes, in order, off a menu of 15 options?

PERMUTATION or COMBINATION? Which calculation is correct?

•  $_4P_{15}$ 

•  $_4C_{15}$ 

•  $_{15}P_4$ 

•  $_{15}C_4$ 

How many ways can you set a 3-digit lock using the numbers 6, 2 and 4?

PERMUTATION or COMBINATION? Which calculation is correct?

•  $_3P_3$ 

•  $_3C_3$ 

•  $_3P_1$  

•  $_3C_1$  

In how many ways can the batting order for nine players on a 16 person team be chosen?

PERMUTATION or COMBINATION? Which calculation is correct?

•  $_{16}P_9$ 

•  $_{16}C_9$ 

•  $_9P_{16}$  

•  $_9C_{16}$  

Kim has homework in five subjects.  In how many ways can she complete her homework?

PERMUTATION or COMBINATION? Which calculation is correct?

•  $_5P_1$ 

•  $_5C_1$ 

•  $_5P_5$  

•  $_5C_5$  

You and 2 friends choose 3 out of 5 appetizers to share.  How many ways can you do this?

PERMUTATION or COMBINATION? Which calculation is correct?

•  $_5P_3$ 

•  $_5C_3$ 

•  $_3P_5$  

•  $_3C_5$  

A crayon box has 6 shades of red.  How many ways could you choose 3 shades to color a bird?

PERMUTATION or COMBINATION? Which calculation is correct?

•  $_6P_3$ 

•  $_6C_3$ 

•  $_3P_6$  

•  $_3C_6$  

How many ways can you choose a President, VP and Secretary from an 8 person committee?

PERMUTATION or COMBINATION? Which calculation is correct?

•  $_3P_8$ 

•  $_3C_8$ 

•  $_8P_3$  

•  $_8C_3$  

How many handshakes are there when 50 men at a meeting shake hands with everyone else (in non-COVID times)?

PERMUTATION or COMBINATION? Which calculation is correct?

•  $_{50}P_{50}$ 

•  $_{50}C_{50}$ 

•  $_{50}P_2$  

•  $_{50}C_2$