Basic Probability and Permutations Combinations

In Cornville, bicycle license plates have 2 letters followed by a 1-digit number. How many different license plates are possible?

• 6760

• 62

• 2600

• 6084

Find the total number of outcomes for picking a day of the week and a month of the year.

• 19

• 84

• 60

• 210

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

• ₁₅C₂=105

• ₁₅P₂=210

• 15 x 2 = 30

• 100 ways

Rob and Mary are planning trips to 9 countries this year.  There are 13 countries they would like to visit.  They are deciding which countries to skip.

• combination

• permutation

• neither

A combination lock has 7 digits.  How many distinct combinations does this lock have if the numbers used have to be 0 through 5?

• 279936

• 78125

• 823543

• 16807

There are 10 students in a class: 5 boys and 5 girls. If the teacher picks a group of 3 at random: a) How many groups of 3 girls are possible?​ b) How many total groups of 3 are possible?​ c) what is the probability that everyone in the group is a girl?

• 10

• 120

• 8%

• 60

• 720

• 50%

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

Calculate:

₁₂P₄

• 24

• 132

• 1320

• 11880

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

Mathematical Equivalence

ON