Permutations and Combinations Practice

Permutation or Combination: A group of 40 people are going to run a race. The top three runners earn gold, silver, and bronze medals.

• permutation

• combination

For a segment of a show a disc jockey can play 5 records. If there are 10 records to select from, in how many ways can the program for this segment be arranged?

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 three of those nine songs?

• 84

• 504

• 362,880

• 6

solve the following combination: Amanda and Jimmy are planning trips to four countries this year. There are 8 countries they would like to visit. They are deciding which countries to skip.

• 70

• 45

• 280

• 260

How many ways can you choose a manager and assistant from a 9-person task force?

• 81
• 18
• 72

NJ license plates have 3 letters followed by 4 numbers. If the same letter cannot be repeated but numbers can be repeated, how many can be made?

• 156,000,000

• 156,000

• 100,000,000

• 100,000

Use the formula nPr to solve the following question. A band has 9 new songs and wants to put 6 of them on a demo CD. How many arrangements of 6 songs are possible?

From a group of 15 people, how many ways can a team of 5 be selected?

• 15

• 120

• 3003

• 7560

Raul wants to arrange 6 cars in a row. How many different arrangements can Raul​ make?

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

• 30
• 140
• 320
• 45