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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

#1
+1014
+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
+1014
+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

.

Bosco Mar 22, 2024