Problem 1 bill is buying his wife a bouquet of carnations, Ask an Expert

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Problem 1: Bill is buying his wife a bouquet of carnations, daises, roses and tulips. The bouquet will have 26 flowers, with

• between 2 and 11 carnations,
• at most 6 daises,
• at least 3 roses, and
• between 3 and 9 tulips.

How many different combinations of flowers satisfy these requirements? You need to use the counting method for integer partitions and show your work.

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