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What is the difference between the greatest and smallest 5-digit numbers formed by using all the digits 3, 0, 9, 1 and 5?
- a)93951
- b)84951
- c)81720
- d)79172
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
What is the difference between the greatest and smallest 5-digit numbe...
The given digits are 3, 0, 9, 1 and 5. The greatest 5-digit number formed by using all the given digits is 95310.
The smallest 5-digit number formed by using all the given digits is 10359.
The smallest 5-digit number formed by using all the given digits is 10359.
∴ Required difference
= 95310 – 10359 = 84951
= 95310 – 10359 = 84951
Most Upvoted Answer
What is the difference between the greatest and smallest 5-digit numbe...
Explanation:
To find the greatest and smallest 5-digit numbers using digits 3, 0, 9, 1, and 5, we need to arrange them in ascending and descending order.
Finding the greatest number:
To find the greatest number, we need to arrange the digits in descending order. Therefore, the greatest number would be formed by using the digits 9, 5, 3, 1, and 0. So the greatest 5-digit number formed using these digits would be 99531.
Finding the smallest number:
To find the smallest number, we need to arrange the digits in ascending order. Therefore, the smallest number would be formed by using the digits 0, 1, 3, 5, and 9. So the smallest 5-digit number formed using these digits would be 01359.
Difference between the greatest and smallest 5-digit numbers:
To find the difference between the greatest and smallest 5-digit numbers, we need to subtract the smallest number from the greatest number. Therefore, the difference between the greatest and smallest 5-digit numbers formed using the digits 3, 0, 9, 1, and 5 would be:
99531 - 01359 = 98172
Hence, option B (84951) is not the correct answer as it is not even one of the numbers formed using the given digits. The correct answer is option D (79172).
To find the greatest and smallest 5-digit numbers using digits 3, 0, 9, 1, and 5, we need to arrange them in ascending and descending order.
Finding the greatest number:
To find the greatest number, we need to arrange the digits in descending order. Therefore, the greatest number would be formed by using the digits 9, 5, 3, 1, and 0. So the greatest 5-digit number formed using these digits would be 99531.
Finding the smallest number:
To find the smallest number, we need to arrange the digits in ascending order. Therefore, the smallest number would be formed by using the digits 0, 1, 3, 5, and 9. So the smallest 5-digit number formed using these digits would be 01359.
Difference between the greatest and smallest 5-digit numbers:
To find the difference between the greatest and smallest 5-digit numbers, we need to subtract the smallest number from the greatest number. Therefore, the difference between the greatest and smallest 5-digit numbers formed using the digits 3, 0, 9, 1, and 5 would be:
99531 - 01359 = 98172
Hence, option B (84951) is not the correct answer as it is not even one of the numbers formed using the given digits. The correct answer is option D (79172).
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What is the difference between the greatest and smallest 5-digit numbers formed by using all the digits 3, 0, 9, 1 and 5?a)93951b)84951c)81720d)79172Correct answer is option 'B'. Can you explain this answer?
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