John was out with his three children, when Albert, the youngest, spotted “Guiseppe’s Italian Ice Cream Parlor.”

“Daddy, I want an ice cream,” whooped Albert, pulling his dad towards the ice cream shop with great enthusiasm and force.

“Yes, so do we,” shrieked Jenny and Mary, helping Albert drag their dad along.

John shrugged patiently. There was nothing for it but to follow and go see what Guiseppe had to offer.

“I can offer you seven flavors: chocolate, vanilla, strawberry, pistachio, stratiachiella, lemon and banana. Delicious home-made Italian ice cream. You will love it,” promoted Guiseppe cheerfully.

“If you choose a different combination each time you come, I give you one ice cream cone for free,” offered Guiseppe.

“Dad, I just figured it out. We can come here lots of times to get different combinations of flavors,” shouted Albert enthusiastically.

John groaned, a budding mathematician.

*How many different combinations of flavors, one per ice cream cone, were possible for the four of them, even if one or more of them chose the same flavor?*

*And how many combinations if Mary always wanted the same flavor as Jenny, so long as nobody else wanted the same flavor?*

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