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Find the smallest 6-digit number that can be formed by the digits 9, 6, 0, 5, 8 and 1.
- a)0, 15, 689
- b)1, 05, 689
- c)5, 01, 689
- d)9, 86, 510
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Find the smallest 6-digit number that can be formed by the digits 9, 6...
To form the smallest number (without repetition of digits) from the given digits, write them in ascending order and place commas after periods. Remember that a number cannot start with 0 in the leftmost place.
Most Upvoted Answer
Find the smallest 6-digit number that can be formed by the digits 9, 6...
To find the smallest 6-digit number that can be formed using the digits 9, 6, 0, 5, 8, and 1, we need to determine the correct order of the digits.
Let's analyze the given options and compare them to find the smallest possible number:
a) 0, 15, 689
b) 1, 05, 689
c) 5, 01, 689
d) 9, 86, 510
Comparing the first digits of each option:
- Option a) starts with 0
- Option b) starts with 1
- Option c) starts with 5
- Option d) starts with 9
Since 0 is the smallest digit among 0, 1, 5, and 9, we can eliminate options b), c), and d) as they start with a larger digit.
Now let's compare the second digits of the remaining options:
- Option a) has 15
- Option c) has 01
Since 01 is smaller than 15, we can eliminate option a) and conclude that the correct answer is option c).
However, we need to ensure that the remaining digits are arranged in ascending order to form the smallest possible number.
Comparing the third digits of option c):
- Option c) has 5 as the third digit
Since 5 is smaller than 8 (the third digit in option a), we can eliminate option a) and conclude that the correct answer is option c).
Now let's compare the last three digits of option c):
- Option c) has 1689
Since 1689 is smaller than 5689 (the last three digits in option a), we can eliminate option a) and conclude that the correct answer is option c).
Therefore, the smallest 6-digit number that can be formed using the digits 9, 6, 0, 5, 8, and 1 is 501689, which matches option c).
Let's analyze the given options and compare them to find the smallest possible number:
a) 0, 15, 689
b) 1, 05, 689
c) 5, 01, 689
d) 9, 86, 510
Comparing the first digits of each option:
- Option a) starts with 0
- Option b) starts with 1
- Option c) starts with 5
- Option d) starts with 9
Since 0 is the smallest digit among 0, 1, 5, and 9, we can eliminate options b), c), and d) as they start with a larger digit.
Now let's compare the second digits of the remaining options:
- Option a) has 15
- Option c) has 01
Since 01 is smaller than 15, we can eliminate option a) and conclude that the correct answer is option c).
However, we need to ensure that the remaining digits are arranged in ascending order to form the smallest possible number.
Comparing the third digits of option c):
- Option c) has 5 as the third digit
Since 5 is smaller than 8 (the third digit in option a), we can eliminate option a) and conclude that the correct answer is option c).
Now let's compare the last three digits of option c):
- Option c) has 1689
Since 1689 is smaller than 5689 (the last three digits in option a), we can eliminate option a) and conclude that the correct answer is option c).
Therefore, the smallest 6-digit number that can be formed using the digits 9, 6, 0, 5, 8, and 1 is 501689, which matches option c).
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Community Answer
Find the smallest 6-digit number that can be formed by the digits 9, 6...
The answer is 105689
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