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A book code has (3) distinct consonants and (2) distinct digits. The first symbol is a consonant and the last symbol is a digit. Assume English has (21) consonants. How many codes can be formed?

Answer and explanation

Correct answer: (21\cdot20\cdot19\cdot10\cdot9)

The order is fixed, so the choices are (21,20,19,10,9) respectively. With distinctness, choices decrease after each selection.

Related tags

PermutationsCombinationsCounting PrincipleClass 11ExpertFundamental Principle Of CountingPermutations And CombinationsMathematics

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