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Class 11MathematicsPermutations and CombinationsFundamental principle of countingExpert
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A (7)-digit number is formed from (0,1,2,\ldots,9). Digits may repeat, the first digit is not (0), and the last (2) digits are same. How many numbers are possible?

Answer and explanation

Correct answer: (900000)

There are (9) choices for the first digit, (10^4) for the middle (4) positions, and (10) for the equal last pair. The total is (9\times10^4\times10=900000).

Related tags

PermutationsCombinationsCounting PrincipleClass 11ExpertFundamental Principle Of CountingPermutations And CombinationsMathematics
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