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Question

# The number of integers greater then a million that can be formed using the digits 2,3,0,3,4,2,3 is -

A
240
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B
320
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C
360
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D
300
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Solution

## The correct option is C 360How many number greater than a million can beformed from the number 2,3,0,3,4,2 & 3.→1. 2 comes at seventh place from right. The othersix digits can be arranged is 6! ways but theseare three threes, So, 6!3! ways.2. 3 comes at seventh place from rigid. Theseare 6!2!2! ways. (∵2 twos & 2 threes)3. 4 corners at seventh place from right. Theseare 6!3!.2! ways (∵ 3 threes & 2 twos)→ total no. of ways = 6!3!+6!2!2!+6!3!.2!=6×5×4×3!3!+6×5×4×3×2×12×1×2×1+6×5×4×3!3!×2×1=120+180+60=180+180=360

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