Inverted nine

In the hotel Inverted Nine, each hotel room number is divisible by 6. How many rooms can we count with the three-digit number registered by digits 1,8,7,4,9?

Correct answer:

n =  18

Step-by-step explanation:

s1=1+7+4=12 s2=1+9+8=18 s3=7+9+8=24 s4=4+9+8=21  n1=114 n2=144 n3=174 n4=414 n5=444 n6=474 n7=894 n8=714 n9=744 n10=774 n11=984 n12=198 n13=498 n14=888 n15=798 n16=918 n17=948 n18=978 n=11+7=18

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