how many different 3 digit numbers greater than 240 can be formed by using 3 different digits from the set (1,2,3,4)?

(1, 2, 3, 4)

The number of possible permutations of these digits is given by P(4,3) = 24

10 numbers are less than 240

123, 124, 132, 134, 142, 143, 213, 214, 231, 234

And 14 are greater than 240

241, 243, 312, 314, 321, 324, 341, 342, 412, 413, 421, 423, 431, 432

Start with 312,

        then 314,

        then 321,

        then 324,

        then 341,

        then 342,

        then 412,

       then ...

Oh, Phil is so right; I forgot a few at the start!

Sorry!