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Subjects
Class 11MathematicsPermutations and CombinationsFundamental principle of countingHard
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In a (5)-digit PIN, digits cannot repeat, the first digit cannot be (0), and the digit (7) must occur exactly once. How many such PINs can be formed?

Answer and explanation

Correct answer: (13776)

If (7) is in the first place, (3024) PINs are possible, and in other places (10752) PINs are possible. Position-based cases are a safe method for such questions.

Related tags

Permutations-And-CombinationsFundamental-PrincipleCountingHardFundamental Principle Of CountingPermutations And CombinationsMathematicsClass 11 Mcq
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