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There are 12 players on a basketball team. The coach is going to choose 5 of them for the starting lineup. How many different possible starting lineups are there? (Type an integer or simplified fraction as needed)

There are 12 players on a basketball team. The coach is going to choose 5 of them for the starting lineup. How many different possible starting lineups are there? (Type an integer or simplified fraction as needed)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Problem Statement:** There are 12 players on a basketball team. The coach is going to choose 5 of them for the starting lineup. How many different possible starting lineups are there? (Type an integer or simplified fraction as needed) **Explanation:** This is a combinatorial problem where you need to find out how many ways you can choose a subset of players. Specifically, you will calculate the number of combinations of 12 players taken 5 at a time. This can be solved using the formula for combinations: \[ C(n, r) = \frac{n!}{r!(n-r)!} \] where \( n \) is the total number of items to choose from, \( r \) is the number of items to choose, and \( ! \) denotes factorial.
Transcribed Image Text:**Problem Statement:** There are 12 players on a basketball team. The coach is going to choose 5 of them for the starting lineup. How many different possible starting lineups are there? (Type an integer or simplified fraction as needed) **Explanation:** This is a combinatorial problem where you need to find out how many ways you can choose a subset of players. Specifically, you will calculate the number of combinations of 12 players taken 5 at a time. This can be solved using the formula for combinations: \[ C(n, r) = \frac{n!}{r!(n-r)!} \] where \( n \) is the total number of items to choose from, \( r \) is the number of items to choose, and \( ! \) denotes factorial.
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