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Four different sets of objects contain 3, 5, 6, and 8 objects, respectively. How many unique combinations can be formed by picking one object from each set?
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Oct 25, 2018
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Four different sets of objects contain 3, 5, 6, and 8 objects, respectively. How many unique combinations can be formed by picking one object from each set?
Mathematics
high-school
Daria Pydorenko
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Daria Pydorenko
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Answer: 720
Explanation:
A P E X
Nrabinowitz
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Oct 27, 2018
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Nrabinowitz
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Here is the reasoning. Pick one object from the first set. There are three possibilities.Pick a second object from the second set. There are 5 possibilities. So, there are 3 x 5 = 15 possibilities for choosing from the first two sets. Continue in this way. There are a total of 3 x 5 x 6 x 8 = 720 combinations, not counting the order in which they are picked. The answer is 720.
Antoine
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Oct 31, 2018
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