Question

How many 5-digit numbers less than 60000 can be formed by writing the digits 0,3,5,6 and 7 in different orders?

Answer 1

48

Here are all the possible 5 digit answers:

30567 30657 30765 30657 30576 30675

35067 36057 37065 36057 35076 36075

35607 36507 37605 36507 35706 36705

35670 36570 37650 36570 35760 36750

 

50367 50376 50637 50736 50763 50673

53067 53076 56037 57036 57063 56073

53607 53706 56307 57306 57603 56703

53670 53760 56370 57360 57630 56730