What is the greatest 4 digit number having distinct digits?

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Solution

The correct option is D9876We know that, the largest four digit number is 9999According to the question, digits should be different, so the largest 4-digit number will be 9876.Hence, option D is correct answer.

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Write the greatest 4-digit number using different digits with 6 in the ten’s place?A) 9876B) 9867C) 9687D) 6987

Answer

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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-

What is the greatest 4 digit number having distinct digits?


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.


3 Answers

What is the greatest 4 digit number having distinct digits?

Geshna Kalla

Grade 9


Greatest 4 digit number having distinct digits is
9876

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What is the greatest 4 digit number having distinct digits?

lily princess

Grade 7


can you please show the process?

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What is the greatest 4 digit number having distinct digits?

Geshna Kalla

Grade 9


Greatest 4 digit number is 9999
Decrease the number
You will get the number is 9876 because we don't have to repeat the number.

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How many 4 digit numbers are there with distinct digits?

Hence 4536 is the number of possible arrangements of four distinct digit numbers.

What is the smallest 4 digit number having distinct digits?

The smallest 4 digit number with different digits is 1023.

What are distinct digits?

Distinct digits: In a very simple way, we can say that distinct means different. The digit which is not equal to any other digit in a given set of digits, that digit is considered as a distinct digit.

How do you find the greatest 4 digit number?

The greatest 4-digit number = 9999.