SOLUTION: If the grocery store has 15 different kinds of fruit and 10 different kinds of canned soup, in how many ways can Michael choose 2 different kinds of fruit and 3 different kinds of
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Question 1189563: If the grocery store has 15 different kinds of fruit and 10 different kinds of canned soup, in how many ways can Michael choose 2 different kinds of fruit and 3 different kinds of soup to buy?
2 different kinds of fruit: = = 105 different ways to select.
3 different kinds of soup: = = 120 different ways to select.
Combining fruit and soups purchases: 105*120 = 12600 different ways to combine. ANSWER
Solved, answered and explained.
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This problem uses two conceptions of Combinatorics: (a) combinations, and (b) the Fundamental counting principle.
