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Write the greatest 4-digit number using different digits with 6 in the ten’s place?
A) 9876
B) 9867
C) 9687
D) 6987
Answer
499.8k+ views
Hint: In this question it is given that we have to find the greatest 4-digit number using different digits with 6 in the ten’s place.
So to find the solution we have to take 4 different digits which is greatest from the other digits and after that we have to form a greatest 4-digit number with 6 in the ten’s place.
Complete step-by-step solution:
As we know that we have in total 10 digits, those are 0,1,2,3,4,5,6,7,8,9. So among them we have to take 4 different larger digits, so we can take 9,8,7,6.
But in this question it is given that we have to place 6 in the tens place like this-
Now the remaining digits are 9,8,7. So to make the above number greatest we have to place digits from left to right in decreasing manner.
So 9 in thousands position, 8 in hundreds position and 7 in the last place that is one's position.
Hence the required number is 9867.
So the correct option is optio B.
Note: To solve this type of question you need the basic idea about place and place value of a number. Students may confuse between terms like largest four digit number and smallest five digit number.
So to find the solution we have to take 4 different digits which is greatest from the other digits and after that we have to form a greatest 4-digit number with 6 in the ten’s place.
Complete step-by-step solution:
As we know that we have in total 10 digits, those are 0,1,2,3,4,5,6,7,8,9. So among them we have to take 4 different larger digits, so we can take 9,8,7,6.
But in this question it is given that we have to place 6 in the tens place like this-
![seo images](https://www.vedantu.com/question-sets/31611cf3-4596-416c-90e2-35146d65e3fd1516025867717664520.png)
Now the remaining digits are 9,8,7. So to make the above number greatest we have to place digits from left to right in decreasing manner.
So 9 in thousands position, 8 in hundreds position and 7 in the last place that is one's position.
Hence the required number is 9867.
So the correct option is optio B.
Note: To solve this type of question you need the basic idea about place and place value of a number. Students may confuse between terms like largest four digit number and smallest five digit number.
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