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  • Determine the count of different six-digit numbers that can be formed using the digits 0, 1, 2, 3, 4, and 5, allowing repetition, where the first and last digits are odd.

Determine the count of different six-digit numbers that can be formed using the digits 0, 1, 2, 3, 4, and 5, allowing repetition, where the first and last digits are odd.

 

Option: 1

9615

 


Option: 2

3888

 


Option: 3

3262

 


Option: 4

1249


Answers (1)

best_answer

To determine the count of different six-digit numbers that can be formed using the digits 0,1,2,3,4, and 5, allowing repetition, where the first and last digits are odd, we can consider the following:

The first and last digits must be odd, which means they can be either 1,3 , or 5 . There are three choices for each of these positions.

For the remaining four digits in the middle, we can choose any of the six given digits (0,1,2,3,4,5) since repetition is allowed.

Therefore, the total count of different six-digit numbers that can be formed is

3 \times 6 \times 6 \times 6 \times 6 \times 3=3^2 \times 6^4=3,888.

It is important to note that repetition is allowed in this case, as the digits 0,1,2,3,4, and 5 can be used multiple times.

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Gunjita

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