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A baking club wants to form an executive committee. There are $20$ people in the baking club, including Mark. In how many ways can the baking club form an executive committee with $7$ people?

 Mar 22, 2024

Best Answer 

 #1
avatar+760 
+1

 

A baking club wants to form an executive committee. There are $20$ people in the baking club, including Mark. In how many ways can the baking club form an executive committee with $7$ people?  

 

This is a Combinations problem, of 20 items taken 7 at a time. 

 

One way this is abbreviated is             20C7    

 

it's calculated as                                     20!   

                                                       –––––––––––   

                                                        (7! • (20–7)!)   

 

I can't write down the numbers.  

20! is too big, something times e18.  

My calculator screen won't display it all.  

 

The final answer works out to               77,520   

.

 Mar 22, 2024
 #1
avatar+760 
+1
Best Answer

 

A baking club wants to form an executive committee. There are $20$ people in the baking club, including Mark. In how many ways can the baking club form an executive committee with $7$ people?  

 

This is a Combinations problem, of 20 items taken 7 at a time. 

 

One way this is abbreviated is             20C7    

 

it's calculated as                                     20!   

                                                       –––––––––––   

                                                        (7! • (20–7)!)   

 

I can't write down the numbers.  

20! is too big, something times e18.  

My calculator screen won't display it all.  

 

The final answer works out to               77,520   

.

Bosco Mar 22, 2024

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