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Subjects
Class 11MathematicsPermutations and CombinationsFundamental principle of countingHard
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A password first has one symbol from (4) symbols, then one vowel from (5) vowels, then (2) distinct consonants from (21) consonants, and finally one digit. If the first symbol is a special symbol, the digit cannot be (0). How many passwords are possible?

Answer and explanation

Correct answer: (81900)

The symbol-digit selection is (1\times9+3\times10=39), and the rest is (5\times21\times20). Make the restricted symbol a separate case.

Related tags

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