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How many integers with distinct digits are there between 1000 and 9999 such that the absolute value of the difference between the first and the last digit is 2?
Wiki User
∙ 10y ago
-- The first and last digits can be 1-3, 2-4, ... 6-8, 7-9. Seven (7) possibilities.
-- Or, they can be 9-7, 8-6 ... 3-1, 2-0. Eight (8) possibilities.
-- Fifteen (15) possible sets of first and last digits.
-- For each of those, the middle two digits can be anything from 00 to 99 ... 100 possibilities.
-- Total number of 4-digit numbers that meet these specs = 15 x 100 = 1,500 .
Wiki User
∙ 10y ago
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