+0

# help counting

-1
13
1
+1323

A baking club wants to form an executive committee.  There are \$18\$ people in the baking club, including Mark.  In how many ways can the baking club form an executive committee with \$2\$ people?

A baking club wants to form an executive committee.  There are \$18\$ people in the baking club, including Mark.  In how many ways can the baking club form an executive committee with \$2\$ people, including Mark?

A baking club wants to form an executive committee.  There are \$18\$ people in the baking club, including Mark.  In how many ways can the baking club form an executive committee with \$2\$ people, not including Mark?

Mar 13, 2024

#1
+396
+2

1)

Choosing any 2 random people is 18 choose 2 = 153.

2)

Choosing Mark and 1 other person is just 17, because there are 17 other people.

3)

Exclude mark essentially, so now we calculate 17 choose 2 = 136.

4)

136 (our answer to #3) + 17 (our answer to #2) = 153(our answer to #1). Why do you think that might be?

Mar 14, 2024