Permutations and Combinations

How many ways can two jellybeans be chosen from a bag of 15 unique jellybeans. 

Tags

AQR.9-12.4.C

There are 18 people running in a cross country race. How many possible ways are there to place the runners in first, second, and third?

• 324
• 4896
• 816
• 54

Tags

AQR.9-12.4.C

Determine whether the following scenarios are a permutation or a combination:
 
Selecting a lead and an understudy for a school play.

• Combination
• Permutation

Tags

AQR.9-12.4.C

Choosing 3 toppings for your sundae out of a list of 15.

• Permutation
• Combination
• Neither

Tags

AQR.9-12.4.C

A disc jockey has to choose three songs for the last few minutes of his evening show. If there are nine songs that he feels are appropriate for that time slot, then how many ways can he choose and arrange to play in order three of those nine songs?

• $3P9=\frac{3!}{9!}$

• $9P3=\frac{9!}{\left(9-3\right)!}$

• $9P3=\frac{9!}{3!}$

• $9C3=\frac{9!}{3!\left(9-3\right)!}$

Tags

AQR.9-12.4.C

How many combinations of 4 letters are possible from the letters A B C D E?

Tags

AQR.9-12.4.C