In this case, we're drawing from the SAME GROUP of friends at each stage. Joe has 7 friends (A, B, C, D, E, F and G) want to invite 3 to his party. Now compare this to a SEEMINGLY similar question. ![]() That is, if we structure our solution this way, we can't choose a blue recliner first, then a red table, and then a green couch So, our strategy does now allow for duplication because we're choosing a DIFFERENT kind of furniture at each stage. If we look at it this way, we are always choosing a couch first, a coffee table second and a recliner third. If we think about solving the question in STAGES, we can see that there's no duplication. Unfortunately, the word "combinations" here is misleading. Could you please let me know what it is, and how to avoid it for these types of problems. I'm sure there is a relatively simple flaw in my thinking. For example, Green Couch, Red Table, Blue Recliner is the same as Blue Recliner, Red Table, Green Couch.) I thought there were 4x5x9 permutations, and to find the number of combinations I would have to divide by 3! (in order to eliminate double counting of arrangements which are the same except in a different order. How many different furniture combinations are possible? They have narrowed it down so that they are choosing between 4 couches, 5 coffee tables, and 9 recliners. ![]() They want to buy a couch, a coffee table, and a recliner. Need some extra help reaching your target scores? Brent (the creator of this website) offers online tutoringīruce and Krista are going to buy a new furniture set for their living room.More basic practice applying the FCP - Khan Academy.GRE practice question (difficulty level: 160 to 170) – Greenlight Test Prep.GRE practice question (difficulty level: 160 to 170) – GRE Prep Club.GRE practice question (difficulty level: 150 to 159) – GRE Prep Club. ![]() GRE practice question (difficulty level: 130 to 149) – GRE Prep Club.
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