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A signal is made by arranging (4) flags selected from (10) distinct flags. One special flag must be included but must not be at the top. How many signals are possible?

Answer and explanation

Correct answer: (1512)

Choose the position of the special flag in (3) ways and fill the other (3) positions from (9) flags in (^{9}P_{3}) ways. Exam tip: count allowed positions of the compulsory object first.

Related tags

PermutationsFlagsPosition RestrictionClass 11Permutations And CombinationsMathematicsClass 11 Mcq

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