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Class 11MathematicsPermutations and CombinationsFundamental principle of countingExpert
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A (5)-digit number is formed using digits from (0) to (9). The first digit is not (0), and the digit (7) must occur exactly once. How many numbers can be formed?

Answer and explanation

Correct answer: (32805)

If the first digit is (7), there are (9^4) ways; if (7) is in one of the other (4) places, there are (4\times8\times9^3) ways. The total is (9^4+4\cdot8\cdot9^3=29889).

Related tags

PermutationsCombinationsCounting PrincipleClass 11ExpertFundamental Principle Of CountingPermutations And CombinationsMathematics
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