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Subjects
Class 11MathematicsPermutations and CombinationsPermutationsHard
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A signal of (5) flags is to be made from (9) distinct flags, but one particular flag must be included. How many signals are possible?

Answer and explanation

Correct answer: (6720)

Choose the position of the particular flag in (5) ways and fill the other (4) positions from (8) flags in (^{8}P_4) ways. The total is (5\cdot{}^{8}P_4=8400).

Related tags

PermutationsFlagsCompulsory ObjectPermutations And CombinationsMathematicsClass 11 Mcq
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