The only wave numbers formed by the five numbers 12345 are
14253, 14352, 24153, 24351, 34152, 34251, and reverse numbers.
13254, 23154, and reverse numbers
That is, for any 5 different numbers ABCDE, (6+2)*2=16 wave numbers can be formed.
Take 5 numbers from 1, 2, 3, 4, 5, 6, 7: C(7,5) = 7*6/2 = 21 kinds
Then The number of such waves***21×16 = 336 types