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Subjects
Class 11MathematicsPermutations and CombinationsPermutationsHard
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A flag with (4) vertical stripes is to be made from (7) distinct colours. One particular colour must be at the top or bottom position. How many flags are possible?

Answer and explanation

Correct answer: (240)

The particular colour has (2) possible positions, and the remaining (3) positions are filled from (6) colours in (^{6}P_3) ways. The total is (2\cdot120=240).

Related tags

PermutationsColoursPosition RestrictionPermutations And CombinationsMathematicsClass 11 Mcq
सुधार सुझाएँ / Earn

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