Question: Determine the generating function for the number of ways to distribute 35 pennies (from an unlimited supply) among five children if (a) there are no

Determine the generating function for the number of ways to distribute 35 pennies (from an unlimited supply) among five children if (a) there are no restrictions; (b) each child gets at least 1₵; (c) each child gets at least 20₵ (d) the oldest child gets at least 10₵; and (e) the two youngest children must each get at least 10₵.

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