Permutations Combinations Probability

In how many ways can 3 different vases be arranged on a tray?
 

• 3

• 9

• 6

• 12

How many ways can you arrange 2 letters from the word
S Q U A R E?

• 30

• 140

• 320

• 45

Homecoming has 7 candidates for King. How many ways can a King and a First Runner-up be chosen to form the Festival Court?

• 23

• 840

• 42

• 3,628,800

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

• Permutation

• Combination

• Neither

How many distinguishable permutations are there in the word: MOUNTAIN

• 4

• 16

• 20160

• 40320

Calculate:

₁₂P₄

• 24

• 132

• 1320

• 11880

There are 19 students in a class, the teacher is making groups of 3. What is the probability that Alex, Connor, and Meredith all end up in the same group?

• 969

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

• Permutation

• Combination

Picking a President, Vice-President, and Secretary from a group of 12. (a)  

• Permutation

• Combination

Rylan’s basketball team has 11 players. How many ways can his coach choose five starting players (order is not relevant)?

Mathematical Equivalence

ON