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Class 11MathematicsPermutations and CombinationsCombinationsEasy
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In how many ways can an ice cream with \(3\) flavors be selected from \(7\) flavors?

Answer and explanation

Correct answer: \(35\)

Selecting \(3\) flavors from \(7\) flavors without order is a combination:
\[\binom{7}{3}=\frac{7!}{3!\,4!}=\frac{7\cdot 6\cdot 5}{3\cdot 2\cdot 1}=35.\]
So the number of ways is \(35\).

Related tags

CombinationsBinomial CoefficientSelection Without OrderIce Cream ExampleFundamental Counting
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  5. 5A meal plate offers 2 bread choices, 3 vegetable choices, and 2 dessert choices. In how many ways can a plate be prepared by choosing one item from each category?
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  8. 8A bag has 6 red and 5 blue balls. Four balls are to be selected with equal numbers of both colours. How many selections are possible?
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