Give a quick stream of consciousness before answering the following question. How many numbers can be made with digits 0, 7, 8 which are greater than 0 and less than a million?\nOptions:\n(A) 496\n(B) 486\n(C) 1084\n(D) 728\n(E) 628
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The number of single digit numbers = 2\nThe number of 2 digit numbers = 2 × 3 = 6\nThe number of 3 digit numbers = 2 × 3 × 3 = 18\nThe number of 4 digit numbers = 2 × 3 × 3 × 3 = 54\nThe number of 5 digit numbers = 2 × 3 × 3 × 3 × 3 = 162\nThe number of 6 digit numbers = 2 × 3 × 3 × 3 × 3 × 3 = 486\nTherefore, the total numbers = 728
The answer: (D).
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