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Subjects
Class 11MathematicsPermutations and CombinationsFundamental principle of countingMedium
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A wardrobe has (4) shirts (3) trousers and (2) belts. If the shirt and belt colors need not match how many outfits can be formed?

Answer and explanation

Correct answer: 24

To form one outfit, choose 1 of the 4 shirts, 1 of the 3 trousers, and 1 of the 2 belts. Since there is no colour-matching restriction, these choices are independent. Hence, the total number of outfits is \(4 \times 3 \times 2 = 24\). Option 12 counts only the shirt-trouser choices and ignores the belt choices. Exam tip: use the multiplication principle when each stage has independent choices.

Related tags

Fundamental Principle Of CountingPermutations And CombinationsCounting PrincipleClass 11 MathematicsOutfit CombinationsMathematicsClass 11 Mcq
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