Question

How many 5 digit license plate can be made using only the digits 2,3,4,5,6,7,8,9 if an odd digit must go first and second and repetitions are not allowed?

Answer 1

1,440

Explanation:

if first two digits must be odd, then there are 4x3 or 12 combinations for that

if the next three digits can be even or odd but not repeats then there can be 6 (two odds remaining plus four evens) x 5 x 4 = 120

120 x 12 = 1,440