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There are four computer engineers and some business analysts at a firm

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Truesoul
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There are four computer engineers and some business analysts at a firm [#permalink] New post   18 May 2019, 21:43
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There are four computer engineers and some business analysts at a firm. You have to organize them in a team of five workers. You look at each possible team of five and realize that each has at least one computer engineer and at least one business analyst. What is the highest possible number of business analysts at the firm?

a. 20
b. 4
c. 16
d. 11
e. 5
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B
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pvs29
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Re: There are four computer engineers and some business analysts at a firm [#permalink] New post   18 May 2019, 23:22
This question can be solved using logic,

If we have to choose 5 people, and at any given time there has to be atleast 1 business analyst and 1 computer engineer, this implies that I have to have atleast 4 of each.

Suppose I have 5 business analysts and 1 computer engineer, there is still a chance that if i choose 5 random people, they could all be business analysts - therefore, 4 is the correct answer!

Hope this helps!
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bulbul1993
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Re: There are four computer engineers and some business analysts at a firm [#permalink] New post   18 May 2019, 23:33
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This question tricks you in selecting 16 when you think how many teams you can form. However, It simply asks you to form a team (one team) which essentially means you can select 1 computer engineers and you will need maximum 4 Business Analyst to form a team of five.

Hence Answer is B.
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Truesoul
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Re: There are four computer engineers and some business analysts at a firm [#permalink] New post   19 May 2019, 06:55
bulbul1993 wrote:
This question tricks you in selecting 16 when you think how many teams you can form. However, It simply asks you to form a team (one team) which essentially means you can select 1 computer engineers and you will need maximum 4 Business Analyst to form a team of five.

Hence Answer is B.


In terms of computation, what can be used to solve this?
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Re: There are four computer engineers and some business analysts at a firm [#permalink] New post   19 May 2019, 06:58
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Each possible team of 5 has "atleast" 1 CE "AND" 1 BA.
total # of CE: 4 (given)
If total # of BA >= 5, there will be a possible scenario where team comprises of no CE and only BA's.
so highest possible # of BA's at firm = 4
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IanStewart
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Re: There are four computer engineers and some business analysts at a firm [#permalink] New post   19 May 2019, 10:11
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If every team of 5 you can make always has at least one engineer, then it's impossible to make a team of 5 analysts. So you can't have 5 (or more) analysts, and the most you can have is 4.
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Re: There are four computer engineers and some business analysts at a firm [#permalink]
19 May 2019, 10:11
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