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 October 20th, 2015, 07:32 AM #1 Newbie   Joined: Oct 2015 From: Nepal Posts: 1 Thanks: 0 Help me out with this Say that there are three friends who went to a restaurant, where they can choose 5 dishes. Three of each only choose 1dish. How many different orders can the waiter take?
 October 20th, 2015, 03:03 PM #2 Senior Member   Joined: Oct 2013 From: New York, USA Posts: 661 Thanks: 87 I don't understand. If any combination is possible, the answer is 5*5*5 = 125. If three different dishes must be ordered, the answer is 5*4*3 = 60.
 October 21st, 2015, 06:36 AM #3 Math Team   Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 I don't understand what "three of each only choose 1 dish" means. What do you mean by "three of each".
 October 21st, 2015, 07:11 AM #4 Global Moderator   Joined: Dec 2006 Posts: 20,937 Thanks: 2210 Are two orders considered different if they consist of the same dishes, but differently distributed amongst the three friends? Does each friend choose at least one dish? If a friend chooses, say, two dishes, can those dishes be the same? How many of the three friends choose only one dish? How many different dishes are available at the restaurant?

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