Question

# Six-digit odd numbers, greater than 6,00,000 that can be formed using the digits 5,6,7,8,9 and 0 if repetition of digits is allowed is

A

66

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B
11664
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C
15552
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D
4×65
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Solution

## The correct option is C 15552We have 6 digits, 5,6,7,8,9 and 0 and we have to form odd numbers greater than 6,00,000. The unit's place can only be filled by 5,7 or 9 since we have to form odd numbers. ∴ The unit place can be filled in 3 ways. The first place (lakh's position) can be occupied by the digits greater than or equal to 6. Therefore, the lakh's position can be filled in 4 ways. Each of the remaining 4 places can be filled by any of the 6 digits in 64 ways. Hence, the total number will be 4×6×6×6×6×3=15552

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