Generating functions to find the number of ways
Use generating functions to find the number of ways to distribute r jelly beans among eight children if
(a) each child gets at least one jelly bean
(B) each child gets an even number of beans
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John and Mary both have birthdays today. In three years, John will be 4 times as old as Mary was when John was 2 years older than Mary is today. If Mary is teenager now (13-19), how old is John now?
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