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Question

# Find the number of six digit odd numbers that are greater than 60000 and can be formed with the digits 5,6,7,8,9,0 when repetition of digits is allowed?

A
12440
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B
12500
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C
15552
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D
25100
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Solution

## The correct option is D 15552We need find 6 digit odd numbers greater than 600000 using 5,6,7,8,9,0The first digit can be any of the 6 except 0,5.Since number should be greater than 600000.The last digit must be either 5,7 or 9 since it should be odd. The 4 digits in the middle can be filled with any of the six given numbers.⇒ Total =4×6×6×6×6×3 =15552

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