There are four three-digit n...
There are four three-digit numbers that share this property: the number itself, its double and its triple contain each digit from 1 to 9 exactly once. For example, 192 is one of them because 192, 384, 576 contain 1 to 9 each once. 273 is another one of them because 273, 546, 819 contain 1 to 9 each once. Can you find the other two numbers and calculate the product of these two numbers?
Directions
Pete and Larry had not seen each other in many years. Now they had a long talk trying to fill in the gap of those years by telling about their lives. Finally Pete invited Larry to visit him in his new apartment.
"I've got a wife and three kids and I'd love to have you visit us."
"Great. Where do you live?"
"Here's the address. And there's plenty of parking behind the apartment. Park and come around to the front door, kick it open with your foot, go to the elevator and press the button with your left elbow, then enter! When you reach the sixth floor, go down the hall until you see my name on the door. Then press the doorbell with your right elbow and I'll let you in."
"Good. But tell me...what is all this business of kicking the front door open, then pressing elevator buttons with my right, then my left elbow?"
"Surely, you're not coming empty-handed."