Question 2101
Digits from 1,2,3,4,5,6,7,8 are used to form a six-digit number. No digit is repeated. Find the number of arrangements such that
(a) (1 mark) the number is greater than 400000,
(b) (2 marks) the last two digits are both even,
(c) (4 marks) the number is greater than 400000 and odd.
This question is inspired by the 2010 A Levels H2 Mathematics Paper 2 Question 8.
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