'abcd' is a four digit number with all distinct digits

'abcd' is a four digit number with all distinct digits. 'ab','bc','cd' are odd numbers.('ab' is not a*b, but rather digits 'a' and 'b'). 'bc' is a product of two prime numbers and 30<bc<50. How many numbers can be formed satisfying the above conditions?

A) 36
B) 45
C) 12
D) 24
E) 30

P.S:I got this question from my colleague. Have no idea about the source