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Seven students, A, B, C, D, E, F, and G, have been selected to be possible characters in a school play. Only 4 people will actually be in the play. The narrowing of the field must obey the following rules: D can only be selected if G is selected. E cannot be selected unless B is selected. Either G or A must be selected, but not both. Either E or C must be selected, but not both. Which of the following, if selected for the show, will completely determine the makeup of the four on the show?

Answer :

meetmarksman

if you pick G you don't have to pick D so I didn't I picked B so that I could pick E and they didn't say any rules about F so I picked G,B,E,F

Cricetus

Selecting pair (E, G) make all four count. A further solution is provided in the below paragraph.

According to the question,

If we will select the pair (E and G), then (B and D) will automatically be selected

So, as the

  • Selection of E ⇒ Selection of B

and,

  • Selection of G ⇒ Selection of D

Thus, we will select the pair (E and G).

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