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How many numbers between 2,000 and 7,000 can be formed using the digits, odd number between 2 to 10. If repetition is allowed.

How many numbers between 2,000 and 7,000 can be formed using the digits, odd number between 2 to 10. If repetition is allowed. Correct Answer 128

Given:

Numbers between 2,000 and 7,000

Using the digits = Odd number between 2 to 10 = 3, 5, 7 and 9

Calculations:

For unit place = any number can be used (3,5,7 and 9) = 4 ways

For tens place = any number can be used (3,5,7 and 9) = 4 ways

For hundreds place = any number can be used (3,5,7 and 9) = 4 ways

For thousands place place = any number can be used (3 and 5) = 2 ways

Total number of ways =

3 or 5

3, 5, 7, 9

3, 5, 7, 9

3, 5, 7, 9

     2 ways                              4 ways                           4 ways                             4 ways

Total number of ways = 2 × 4 × 4 × 4 = 128

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