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Answer the following question based on the information given below.
On a TV channel, five programs - P, Q, R, S and T - were scheduled to be telecast on a particular day in the given order. However, due to some unavoidable circumstances, the schedule had to be changed at the eleventh hour. The scheduling in-charge gave this assignment to some summer trainees. Each trainee came up with a unique acceptable schedule which satisfied the following conditions:
1.     The number of programs scheduled before P was the same as the number of programs scheduled after Q.
2.     T was neither scheduled first nor last.
3.     S was scheduled after T but before Q.
Q.
What is the maximum number of trainees to whom the scheduling in- 1 charge could have given this assignment?
 
  • a)
    2
  • b)
    3
  • c)
    4
  • d)
    Cannot be determined
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Answer the following question based on the information given below.On ...
Each trainee came up with a unique acceptable schedule.
So, maximum number of trainees = maximum number of unique acceptable schedules
S was scheduled after T but before Q. So, Q could not have been scheduled first or second.
Now, the number of programs scheduled before P = number of programs scheduled after Q.
Since Q was not first or second, there are two cases possible:
Case 1 :___ P___ Q___
Case 2 : P_________ Q
Since T was not scheduled first or last, T has to be third in case 1 and can take any place in case 2.
Consider case 1: P T Q
Here, S cannot be scheduled after T and before Q. So, this case is invalid. Thus, only case 2 is valid.
Now, there are three possible combinations where S is scheduled after T but before Q.
PTSRQ
PTRSQ
PRTSQ
Since the maximum number of unique acceptable schedules is 3, the maximum number of trainees is also 3.
Hence, option 2.
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Answer the following question based on the information given below.On a TV channel, five programs - P, Q, R, S and T - were scheduled to be telecast on a particular day in the given order. However, due to some unavoidable circumstances, the schedule had to be changed at the eleventh hour. The scheduling in-charge gave this assignment to some summer trainees. Each trainee came up with a unique acceptable schedule which satisfied the following conditions:1. The number of programs scheduled before P was the same as the number of programs scheduled after Q.2. T was neither scheduled first nor last.3. S was scheduled after T but before Q.Q.What is the maximum number of trainees to whom the scheduling in- 1 charge could have given this assignment?a)2b)3c)4d)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?
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