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An Architect has 4 design samples to choose as basis for his [#permalink]
30 Jun 2008, 08:15

An Architect has 4 design samples to choose as basis for his new work. He may elect to choose any of these 4 design templates or start a new design sample all together. What are the maximum possible combination for his decision?

OK so I made this question up..the trick is do you count 0 as an option?

I don't get the question. How many designs from the 4 available designs can he choose? If he only chooses 1 out 4, then it is just 4. But if he does not want to pick from the 4 available designs and draw up 1 on his own, then that would just be 1 possible combination.

fresinha12 wrote:

An Architect has 4 design samples to choose as basis for his new work. He may elect to choose any of these 4 design templates or start a new design sample all together. What are the maximum possible combination for his decision?

OK so I made this question up..the trick is do you count 0 as an option?

the question is very similar to a probability question that would go like, the probability it will rain is 50% on any given day...what is the probability it will rain 2 days out of 5 days...

here the total possible number of outcomes is 2^5...either it rains or not..there 5 days..so 2^5...

same concept here..i am asking an architect can pick a plan or not.2 outcome..pick, not pick..

Here is the explanation: As mentioned in the question he can chose any of the 4 designs or create a new 1: So, He can make a design by choosing 0 of the 4 designs in 4C0 ways = 1 (Created a new design) He can make a design by choosing 1 of the 4 designs in 4C1 ways = 4 He can make a design by choosing 2 of the 4 designs in 4C2 ways = 6 He can make a design by choosing 3 of the 4 designs in 4C3 ways = 4 He can make a design by choosing all 4 of the 4 designs in 4C4 ways = 1

Total number of combinations is sum of the above numbers, i.e., 1 + 4 + 6 + 4 + 1 = 16

Originally posted on MIT Sloan School of Management : We are busy putting the final touches on our application. We plan to have it go live by July 15...