11 digit lottery tickets are produced from the set {1,2,3,...,80}. I understand there to be C(80,11) total lottery tickets. Seven different numbers from the set {1,2,3,...,80} are chosen to be winning numbers. How many different lottery tickets can contain all seven of the winning numbers?
2026-02-23 06:40:33.1771828833
How many 11 digit lottery tickets produced from a set {1,...,80} have all 7 winning numbers?
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Hint: if an 11-number ticket contains 7 out of 7 winning numbers, how many ways are there to complete the ticket from among the 73 non-winning numbers?