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Class 11MathematicsPermutations and CombinationsCombinationsEasy
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In how many ways can any number of cards be selected from (5) different cards?

Answer and explanation

Correct answer: 32

For each of the 5 distinct cards, there are two independent choices: select it or do not select it. Therefore, the total number of selections is \(2^5=32\). This includes the one way of selecting no card, because the question says “any number.” The answer would be \(31\) only if selecting at least one card were required. Exam tip: “any number” usually includes 0; subtract the empty selection only when the question says “one or more.”

Related tags

CombinationsSubsetsCard SelectionClass 11Permutations And CombinationsMathematicsClass 11 Mcq
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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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