Permutations and Combinations

The​ science class has 12 girls and 10 boys. How many different​ boy-girl lab partners can be​ arranged?

The​ choir has 9 altos and 11 sopranos. How many different​ alto-soprano duets can be​ arranged?

The​ coed soccer team has 14 girls and 16 boys. How many different​ boy-girl practice partners can be​ arranged?

• 30

• 244

• 120

• 224

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

Victorio wants to arrange 8 magnetic blocks in a row. How many different arrangements can Victorio make?

Daniel wants to arrange 12 books in a row. How many different arrangements can he​ make?

Use the formula nPr to solve the following question. 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?

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?

There are 6 students in a classroom with 8 desks. How many possible seating arrangements are there?

An election ballot asks voters to select four city commissioners from a group of ten candidates. In how many ways can this be​ done? Four city commissioners can be selected from a group of ten candidates in

_____ different ways.