How many two digit numbers of distinct digits can be formed by using digits 1, 2, 3, 4, 5, 6 and 7 such that the numbers are divisible by 4?  Pick.
A) 7	B) 8	C) 9	D) 10	E) 11
Counting the different combinations possible is the easiest method as the options tell you that the correct number is a relatively small number.   The total cases possible are:   12   16   24   32   36   44 (not counted as we need distinct digits)   52   56   64   72   76   Edit: Total: 10   10 is the correct answer.
<result>D</result>
How many two digit numbers of distinct digits can be formed by using digits 1, 2, 3, 4, 5, 6 and 7 such that the numbers are divisible by 4?