Members of three families are in attendance at a party: • Nine are members of the Adams family • Seven are members of the Brown family • Six are members of the Clark family (22 people total) Four people will be chosen as ‘designated drivers”. (a) How many ways can the four people be chosen? (b) How many ways can the four people be chosen if all four designated drivers come from the same family? (c) How many ways can the four people be chosen if there must be at least one designated driver from each family? (HINT: Consider all the possible combinations of family members.) (Don't Hand writing in solution. )

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Members of three families are in attendance at a party:
• Nine are members of the Adams family
• Seven are members of the Brown family
• Six are members of the Clark family
(22 people total)
Four people will be chosen as ‘designated drivers”.
(a) How many ways can the four people be chosen?
(b) How many ways can the four people be chosen if all four designated drivers come from the
same family?
(c) How many ways can the four people be chosen if there must be at least one designated driver
from each family? (HINT: Consider all the possible combinations of family members.)

(Don't Hand writing in solution. )

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