In XYZ company, six employees—A, B, C, D, E, and F—belong to different teams: Tech, Marketing, Design, Networking, Accounts, and Sales, not necessarily in the same order. Each employee visits the office on a different day from Monday to Saturday. The following details are known about the six employees.
1) A who belongs to Tech team doesn't visit on Thursday and C is not from marketing and did not visit on Friday.
2) E is from Accounts team and B visits on Saturday. While employee from Design did not visit on Saturday.
3) The employee from sales team visits on Monday and the employee from Network team visits on Friday.
4) Employee from Tech and sales visited on consecutive days while the employees from Tech and Design did not.
How many different combinations of team and visiting day are possible for the six employees?
Solution
We will write down the direct information given above.
We are told that employee from sales team visits on Monday. And the employee from Network team visits on Friday.
We are also told that A didn't visit on Thursday. So, the only possible days that A would can visit Tuesday or Wednesday. Statement 4 says that Tech and sales Visited on consecutive days. So, the only possibitlity for Tech is Tuesday.
We are also told that tech and sales team visited on consecutive days. So, Tech team employee visited on Tuesday.
We are told that Teach and Design team didn't visit on consective days. So, Design team employee didn't visit on Wednesday.
The only possibility for Design team employee will be thursday. Hence Marketing employee will be on Saturday.
We know that C didn't visit on Friday. So, C can't be from Networking. C is either from Sales or from Design.
Not the remaining two can be given to D and F in two ways.
So, 2*2 = 4 ways.
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