What is the product of the largest four-digit and the smallest four-digit number formed by the digits 6, 1, 2 and 4.

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8000866

answer is A.

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Detailed Solution

Concept- Find the largest and smallest four-digit numbers that can be made up of the digits 6, 1, 2, and 4. After that, multiply them to get the result. Decide which digit should be in the thousand, hundred, tenth, and unit places so that the four-digit number will be the largest or the smallest and then try to figure it out.
The numbers must be arranged in decreasing order, with the largest digit appearing first on the left and the lowest number appearing on the rightmost digit, in order to get the largest number from the given digits.
Six is the greatest digit, followed by four, two, one, and finally two. The greatest number that can be generated with the numbers 6, 1, 2, and 4 is 6421.
The numbers must be arranged in ascending order so that the smallest digit is at the leftmost digit and the largest digit is at the rightmost digit in order to find the smallest number from the given digits.
If there is a zero, it must be the second digit from the left because if it is the first, it makes the number less than four digits.
The number 1 is the smallest number, followed by the numbers 2, 4, and then 6. Thus, 1246 is the smallest number that can be represented by the numbers 6, 1, 2, and 4.
Now, we can calculate the result of the numbers 6421 and 1246.

Hence, the correct answer is option 1.

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