At a concert, exactly eight compositions – F, H, L, O, P, R, S, and T – are to be performed exactly once each, consecutively and one composition at a time. The order of their performance must satisfy the following conditions:
T is performed either immediately before F or immediately after R.
At least two compositions are performed either after F and before R, or after R and before
F. O is performed either first or fifth.
The eighth composition performed is either L or
H. P is performed at some time before S.
At least one composition is performed either after O and before S, or after S and before O.
Which one of the following lists the compositions in an order in which they could be performed during the concert, from first through eighth?
Select an option, then click Submit answer.
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L, P, S, R, O, T, F, H
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O, T, P, F, S, H, R, L
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P, T, F, S, L, R, O, H
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P, T, F, S, O, R, L, H
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T, F, P, R, O, L, S, H
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O is performed either first or fifth.
The eighth composition performed is either L or
Rule 2 knocks out option [T, F, P, R, O, L, S, H]. by placing R and F too close together. Option [P, T, F, S, L, R, O, H] unacceptably places F and R too close together (Rule 3), and [P, T, F, S, O, R, L, H] does likewise with O and S (Rule 6).
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P is performed at some time before S.
At least one composition is performed either after O and before S, or after S and before O.
Which one of the following lists the compositions in an order in which they could be performed during the concert, from first through eighth?