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What is the greatest 7-digit number formed using the digits 0, 1, 4, 6, 5, 8, and 9 with repetition allowed?
- a)9999999
- b)9865420
- c)9999990
- d)9999998
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
What is the greatest 7-digit number formed using the digits 0, 1, 4, 6...
Understanding the Problem
To find the greatest 7-digit number using the digits 0, 1, 4, 6, 5, 8, and 9 with repetition allowed, we need to focus on maximizing each digit from left to right.
Identifying the Digits
The available digits are:
- 0
- 1
- 4
- 6
- 5
- 8
- 9
Among these, the largest digit is 9.
Forming the Greatest Number
To create the greatest possible 7-digit number:
- Start with the largest digit (9) and fill all positions to ensure the number is maximized.
- Since repetition is allowed, we can use 9 in all 7 positions.
Thus, the number formed is:
- 9999999
Analyzing Other Options
Now, let’s briefly consider the other options:
- 9865420: This number is less than 9999999 because it does not use the maximum digit (9) in all positions.
- 9999990: Though it uses the largest digit, it has one position with 0, making it smaller than 9999999.
- 9999998: Similar to the previous option, it’s smaller due to the last digit being 8.
Conclusion
The greatest 7-digit number formed using the digits 0, 1, 4, 6, 5, 8, and 9 with repetition allowed is indeed:
- 9999999
This confirms that option 'A' is the correct answer!
To find the greatest 7-digit number using the digits 0, 1, 4, 6, 5, 8, and 9 with repetition allowed, we need to focus on maximizing each digit from left to right.
Identifying the Digits
The available digits are:
- 0
- 1
- 4
- 6
- 5
- 8
- 9
Among these, the largest digit is 9.
Forming the Greatest Number
To create the greatest possible 7-digit number:
- Start with the largest digit (9) and fill all positions to ensure the number is maximized.
- Since repetition is allowed, we can use 9 in all 7 positions.
Thus, the number formed is:
- 9999999
Analyzing Other Options
Now, let’s briefly consider the other options:
- 9865420: This number is less than 9999999 because it does not use the maximum digit (9) in all positions.
- 9999990: Though it uses the largest digit, it has one position with 0, making it smaller than 9999999.
- 9999998: Similar to the previous option, it’s smaller due to the last digit being 8.
Conclusion
The greatest 7-digit number formed using the digits 0, 1, 4, 6, 5, 8, and 9 with repetition allowed is indeed:
- 9999999
This confirms that option 'A' is the correct answer!
Community Answer
What is the greatest 7-digit number formed using the digits 0, 1, 4, 6...
With repetition allowed, the greatest 7-digit number is 9999999.
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