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Class 11MathematicsPermutations and CombinationsFundamental principle of countingExpert
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A (4)-digit number is formed using (0,1,2,3,4,5). Digits cannot repeat and the number must be less than (3000). How many numbers can be formed?

Answer and explanation

Correct answer: (80)

The thousands place has (2) choices: (1) or (2). The remaining (3) places have (5\times4\times3) ways, so the total is (120).

Related tags

PermutationsCombinationsCounting PrincipleClass 11ExpertFundamental Principle Of CountingPermutations And CombinationsMathematics
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