(Solved) : 1 Person Giving Party Wants Set 15 Assorted Cans Soft Drinks Guests Shops Store Sells Five Q33200490 . . .
1. A person giving a party wants to set out 15 assorted cans ofsoft drinks for his guests. He shops at a store that sells fivedifferent types of soft drinks.
a) How many different selections of cans of 15 soft drinks canhe make?
b) If root beer is one of the types of soft drink, how manydifferent selections include at least six cans of root beer?
c) If the store has only five cans of root beer but at least 15cans of each other type of soft drink, how many differentselections are there?
2. Find the number of integer solutions to 1 + 2 + 3 + 4 + 5 = 500 where 1, 2, 3, 4, 5 ∈ Z and they are at least 10.
3. The Math club has 30 members. They vote to change thelocation of Friday’s party. 21 vote in favour. 9 vote against. Theystrike a committee of six people to settle the issue.
a) In how many ways can the six people be selected?
b) In how many ways can the six people be selected if 4 must befrom the 21 supporting the change and 2 must be from those that donot support the change?
c) In how many ways can the six people be selected if a clearmajority must come from the group supporting the change?
Expert Answer
Answer to 1 Person Giving Party Wants Set 15 Assorted Cans Soft Drinks Guests Shops Store Sells Five Q33200490 . . .
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