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Class 11MathematicsPermutations and CombinationsCombinationsEasy
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A bag contains pens in 3 different colors, markers in 4 different colors, and pencils in 2 different colors. In how many ways can one pen, one marker, and one pencil be chosen?

Answer and explanation

Correct answer: 24

There are 3 choices for the pen, 4 choices for the marker, and 2 choices for the pencil. Since these choices are independent and all three items must be selected, the multiplication principle gives \(3\times4\times2=24\) ways. The value 12 fails to account correctly for all three selection stages. Exam tip: multiply the numbers of choices when independent choices are connected by ‘and’.

Related tags

Permutations And CombinationsCounting PrincipleMultiplication RuleIndependent ChoicesCombinationsMathematicsClass 11 Mcq
सुधार सुझाएँ / Earn

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