Considering 4 digit numbers. Where the sum of all digits is 10 and all digits are distinct.
Find the largest such 4 digit number.
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We want the largest digit possible for the thousands digit. So the smallest 3 distinct being 0,1, and 2. that leaves us with
0 + 1 + 2 + x = 1 0 ⇒ x = 7 .
Arranging the digits in numerical order from largest to smallest is 7210.