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A three-digit number is formed using distinct digits from 1, 2, 3, 4, 5, and 6. The number must be greater than 400. How many such numbers can be formed?

Answer and explanation

Correct answer: 60 numbers

The hundreds digit must be 4, 5, or 6, giving 3 choices. After choosing it, there are 5 choices for the tens digit and 4 for the units digit, since digits cannot repeat. Thus, the total is 3 × 5 × 4 = 60 numbers.

Related tags

Permutations And CombinationsFundamental Principle Of CountingMathematicsClass 11 Mcq

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