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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: 638 Thanks: 85 
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: 20,472 Thanks: 2039 
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?
