Permutations and Combinations Worksheet

When five doctors are selected at random from a hospital employing 27 doctors to fill out a questionnaire, is this an example of a _______________?

(a)  

• Permutation

• Combination
• Both

• Neither

A 4-H club of 16 members is choosing a committee of three made up of a president, secretary, and treasurer. Is this an example of a _____________?

(a)  

• Permutation
• Combination

• Both

• Neither

Match the following questions with their solutions

• How many ways can 15 people be lined up for a photograph?

• The Ice Cream Parlor has 15 different flavors. How many triple-flavored sundaes can be made?

• How many 15 digit passwords can be made?

• The Math club (15 members) is electing a President, VP & Treasurer. How many ways can this be done?

There are 85 students in a college mathematics class. Five students are chosen to work on a project together. How many different groups of five students are there in this class?

(ONLY report the numeric value.)

When making a password with repetition allowed, does the number of possible passwords increase or decrease compared to no repetition?

• Increase

• Decrease

• Stay the same

• Cannot be determined

An ice cream sundae is being made with 3 flavors of ice cream chosen from 32 flavors. If each flavor is unique (not repeated) how many different sundaes are possible?

(Only enter the numerical answer)

Mathematical Equivalence

OFF

An ice cream sundae is being made with 3 flavors of ice cream chosen from 32 flavors. If each flavor is NOT unique (can be repeated) how many different sundaes are possible?

(Only enter the numerical answer)

Mathematical Equivalence

OFF

Mathematical Equivalence

OFF

Tags

CCSS.HSA.APR.C.5

• 5x - 8y

Tags

CCSS.HSA.APR.C.5

How do you know what row of Pascal's triangle to use to expand a binomial?

• You use the row that has the same number of terms as the exponent

• You use the row that has the exponent number as it's second term

• You use the row that is on the bottom of the triangle

• You just guess

Tags

CCSS.HSA.APR.C.5