Brad is at a party consisting of 7 men (Brad and six others) and 6 women. He decides to leave the party to get some ice cream at a nearby ice cream shop. a) If one other man decides to join Brad, in how many ways can this other man be selected? b) Two women also decide to join Brad. How many ways can we choose two women from those at the party? What is the total number of groups that could decide to go for ice cream? The four people arrive at the ice cream shop and take a table. In how many ways can the four people be arranged around the table? e) The ice cream shop has twelve flavors of ice cream. It has eight different sauces and five kinds of sprinkles. How many different sundaes could be made consisting of one ice cream flavor, one sauce and one kind of sprinkle? f) Brad is allergic to chocolate. There are three ice cream flavors he should avoid. One of the sauces is no longer an option. And two of the sprinkle varieties have been discounted. How many different sundaes can Brad order? c) d)

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Author:Amos Gilat
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Problem #8 - Counting
Brad is at a party consisting of 7 men (Brad and six others) and 6 women. He decides to leave the party to get
some ice cream at a nearby ice cream shop.
a) If one other man decides to join Brad, in how many ways can this other man be selected?
b)
Two women also decide to join Brad. How many ways can we choose two women from those at the
party?
c) What is the total number of groups that could decide to go for ice cream?
d)
The four people arrive at the ice cream shop and take a table. In how many ways can the four people
be arranged around the table?
e)
The ice cream shop has twelve flavors of ice cream. It has eight different sauces and five kinds of
sprinkles. How many different sundaes could be made consisting of one ice cream flavor, one sauce
and one kind of sprinkle?
f) Brad is allergic to chocolate. There are three ice cream flavors he should avoid. One of the sauces is
no longer an option. And two of the sprinkle varieties have been discounted. How many different
sundaes can Brad order?
Transcribed Image Text:Problem #8 - Counting Brad is at a party consisting of 7 men (Brad and six others) and 6 women. He decides to leave the party to get some ice cream at a nearby ice cream shop. a) If one other man decides to join Brad, in how many ways can this other man be selected? b) Two women also decide to join Brad. How many ways can we choose two women from those at the party? c) What is the total number of groups that could decide to go for ice cream? d) The four people arrive at the ice cream shop and take a table. In how many ways can the four people be arranged around the table? e) The ice cream shop has twelve flavors of ice cream. It has eight different sauces and five kinds of sprinkles. How many different sundaes could be made consisting of one ice cream flavor, one sauce and one kind of sprinkle? f) Brad is allergic to chocolate. There are three ice cream flavors he should avoid. One of the sauces is no longer an option. And two of the sprinkle varieties have been discounted. How many different sundaes can Brad order?
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