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Class 11MathematicsPermutations and CombinationsFundamental principle of countingExpert
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A club membership card is made using (2) colors, (5) shapes, and (4) symbols. If the red color allows only (2) symbols while the other color allows all (4) symbols, how many cards are possible?

Answer and explanation

Correct answer: (1 \times 5 \times 2+1 \times 5 \times 4=30)

The number of symbols changes with the color, so there are two cases. Uniform multiplication is not used when choices depend on earlier choices.

Related tags

CountingCardsDependent-ChoiceFundamental Principle Of CountingPermutations And CombinationsMathematicsClass 11 Mcq
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