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Re: A group of x applicants is to be chosen for a spot on a tele [#permalink]
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A group of x applicants is to be chosen for a spot on a tele [#permalink]
pranab223 wrote:
Bunuel wrote:
A group of x applicants is to be chosen for a spot on a television show. The number of applicants chosen, y, can range from 1 to x. If there are a total of 56 different possible selections for the spot on the television show, which of the following are possible values of y? (Choose all that apply.)



Now we have xCy = 56

where y= 1 to x

Let us consider the options which are mentioned whose combination equals to 56

56 = 7 * 8 or 14 * 4 or 28 * 2 or 56 * 1

Let x= 56 and y = 1

therefore 56C1 = 56

Let x= 8 and y= 3

therefore 8C3 = 56

Let x= 8 and y= 5

Therefore 8C5 = 56

Let x = 56 and y = 55

Therefore 56C55 = 56

Hence when y= 1 , 3, 5 and 55 then the combination equals to 56

i. e option A, option B, option C and option G


How did you decide to use 8 in 8C3, 8 in 8C5, and 56 in 56C55?
Why not try 14C5 (I understand that it will give a wrong answer, but I am looking at this from the time consuming perspective).
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