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Subjects
Class 11MathematicsPermutations and CombinationsFundamental principle of countingHard
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A (5)-digit code is formed from (0,1,2,3,4,5) without repetition, and the first digit cannot be (0). If both (1) and (2) must appear in the code, how many codes are possible?

Answer and explanation

Correct answer: (384)

Choose the other (3) digits along with (1,2), then subtract arrangements with leading zero when zero is included. Check the zero-position restriction separately.

Related tags

CodesZero-RestrictionCountingFundamental Principle Of CountingPermutations And CombinationsMathematicsClass 11 Mcq
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