Question

Select the correct answer.
At a high school there are 53 players on the football team, 15 players on the baseball team, and 12 players on
the basketball team. How many ways can a committee be formed with 1 representative from each team?
Math

Answer 1

Answer:

53*15*12=9540

Step-by-step explanation:

its just 53 times 15 times 12 for all the possibilities.

Say the first football player was picked, same with the first baseball player, and the first basketball player were all picked, then another possiblity would be the first football player, the second baseball player, and the first basketball player, here is a numerical example.

Football            Baseball             Basketball

     1                         1                             1  

     1                         2                            1

     1                         2                            2

     1                         2                            3

     1                         2                            4

and so on including all the patterns it would be 9540 possibilities

Answer 2

The total number of ways of forming a committee by selecting one representative from each team is 9540.

What is combination?

A combination is a mathematical technique that determines the number of possible arrangements or the number of ways  in a collection of items where the order of the selection does not matter.

Combination Formula

$nC_{r}= \frac{n!}{r!(n-r)!}$

Where,

$nC_{r}$ is a number of combination.

n is total number of objects in the set.

r is the number of choosing objects from the set.

Multiplication rule in combination?

According to the multiplication rule in combination if there are a ways of doing something and b ways of doing another thing, then there are a · b ways of performing both actions.

According to the given question

Total number of football players = 53

Total number of baseball players = 15

Total number of basket ball players = 12

Therefore,

Number of ways of selecting one representative from football team is given by  

$53C_{1} =\frac{53!}{1!52!} = 53$

Number of ways of selecting one representative from baseball team is given by

$15C_{1} =\frac{15!}{1!14!}=15$

Number of ways of selecting one representative from basketball team is given by

$12C_{1} =\frac{12!}{1!11!} =12$

So, the total number of ways of forming a committee by selecting one representative from each team = 53 × 15 × 12 =9540.

Hence,  total number of ways of forming a committee by selecting one representative from each team 9540.

Find out more information about combination here:

https://brainly.com/question/13387529

#SPJ2