Since, for every person who uses ‘F’ no of facilities, there are exactly 3 person who uses atleast (F-1) no. of facilities. If we take the no. of persons who uses all the four facilities to be ‘x’ then the no. of person who uses atleast 3 facilities will be 3x and so on. The no. of persons who uses exactly 3 facilities = 3x – x = 2x Thus, the no. of persons who opt for various facilities can be summarized as follows: We also know that no of person who uses no facilities = twice of those who uses all the 4 facilities = 2x. So according the above deductions we can clearly see that the number of person the hotel would be x + 2x + 6x + 18x + 2x = 29 x = 1160 x = 40 Hence the number of person who uses exactly three science = 2x = 80 Correct Answer: 80
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