Consider any positive four-digit integer that has all of its digits distinct and none equal to zero. What is the largest possibl

Question

4 years ago

8

e difference between such an integer and any integer that results from rearranging its digits

1 answer:

andrew11 [14] · Answer 1 · 2021-12-24T00:28:17+03:00

Answer:

<h2>Check the explanation.</h2>

Step-by-step explanation:

The highest four digit number is 9999 and lowest 4 digit number is 1000. The difference between them is (9999 - 1000) = 8999.

8999 cannot be difference according to the question, as here all the digits should be distinct rather than 0.

The difference between the 9 and 1 is 8, which is the highest difference among the unit digits rather than 0.

The 2nd lowest number after 9 is 8 and the 2nd highest unit digit after 1 is 2.

(8 - 2) = 6.

The difference will be highest if difference is calculated between the highest and lowest number.

With the 4 digits, 9, 8, 2, 1 the lowest number is 1289 and the highest number is 9821.

The difference is (9821 - 1289) = 8532.