### Solution Found!

# Again consider a Little League team that has 15 players on

**Chapter 3, Problem 33E**

(choose chapter or problem)

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**QUESTION:**

Again consider a Little League team that has 15 players on its roster.

a. How many ways are there to select 9 players for the starting lineup?

b. How many ways are there to select 9 players for the starting lineup and a batting order for the 9 starters?

c. Suppose 5 of the 15 players are left-handed. How many ways are there to select 3 left-handed outfielders and have all 6 other positions occupied by right-handed players?

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### Questions & Answers

**QUESTION:**

Again consider a Little League team that has 15 players on its roster.

a. How many ways are there to select 9 players for the starting lineup?

b. How many ways are there to select 9 players for the starting lineup and a batting order for the 9 starters?

c. Suppose 5 of the 15 players are left-handed. How many ways are there to select 3 left-handed outfielders and have all 6 other positions occupied by right-handed players?

**ANSWER:**

Step 1 of 3

Given, Little League team that has 15 players on its roster.

a. Selecting 9 players for the starting lineup

Total number of ways

= 5005

Therefore, there are 5005 ways to select 9 players for the starting lineup.