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Subjects
Class 11MathematicsPermutations and CombinationsFundamental principle of countingHard
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A dress code has (5) shirts, (4) pants, and (3) jackets. A jacket is optional, but the blue shirt cannot be worn with black pants. If a shirt and pants are compulsory, how many outfits are possible?

Answer and explanation

Correct answer: (76)

There are (4) jacket choices because wearing none is also a choice. Subtract forbidden (1 \times 1 \times 4) from total (5 \times 4 \times 4).

Related tags

PermutationsCombinationsCountingHardFundamental Principle Of CountingPermutations And CombinationsMathematicsClass 11 Mcq
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