John was out with his three children, when Albert, the youngest, spotted \u201cGuiseppe\u2019s Italian Ice Cream Parlor.\u201d<\/p>\n
\u201cDaddy, I want an ice cream,\u201d whooped Albert, pulling his dad towards the ice cream shop with great enthusiasm and force.<\/p>\n
\u201cYes, so do we,\u201d shrieked Jenny and Mary, helping Albert drag their dad along.<\/p>\n
John shrugged patiently. There was nothing for it but to follow and go see what Guiseppe had to offer.<\/p>\n
\u201cI can offer you seven flavors: chocolate, vanilla, strawberry, pistachio, stratiachiella, lemon and banana. Delicious home-made Italian ice cream. You will love it,\u201d promoted Guiseppe cheerfully.<\/p>\n
\u201cIf you choose a different combination each time you come, I give you one ice cream cone for free,\u201d offered Guiseppe.<\/p>\n
\u201cDad, I just figured it out. We can come here lots of times to get different combinations of flavors,\u201d shouted Albert enthusiastically.<\/p>\n
John groaned, a budding mathematician.<\/p>\n
<\/p>\n
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?<\/em><\/p>\n And how many combinations if Mary always wanted the same flavor as Jenny, so long as nobody else wanted the same flavor?<\/em><\/p>\nShare this:<\/h3>