Why B?

Started by Tehran20 · started 2019-10-21 22:27 · last activity 2019-10-21 23:59 · 1 reply

Can I please get this diagrammed?

Replies

  1. Irina · 2019-10-21 23:59

    @Tehran20, The game requires us to determine the sitting order of 7 children. 4 boys - F H I J and 3 girls - R S T. Chairs are arranged in a row from west to east, so chair #1 is the westernmost chair and chair #7 is the easternmost chair: __ __ __ __ __ __ __ 1. 2. 3. 4. 5. 6. 7 The rules tell us that I sits next to and east of the fourth child, so I must sit in the chair #5. __ __ __ __ I __ __ 1. 2. 3. 4. 5. 6. 7 S seats east of I and it is impossible for a boy to seat in chair #6 since we cannot have two boys in a row, and it is impossible for two girls to take chairs #6 and #7 because then we have only one girl left to assign to chairs 1-4 and 3 boys resulting in boys sitting next to each other in violation of the rules. Thus we can conclude that two girls must be assigned to chairs 1 through 4 along with 2 boys, and 1 boy and 1 girl must be assigned to chairs 6-7 in the following manner: B G B G B G B 1 2. 3 4 5 6. 7 Since S is east of I, she must be in chair #6. B G B G I S B 1. 2. 3. 4 5 6 7 The question asks us if F does not sit to any child that seats next to I, which of the following could be true? If F does not sit next to any child that sits next to I, it means F does not sit in chairs #3 or #7 and he cannot be in chairs #4 and #6 since we cannot have two boys in a row per the role. This means that the only possible seats left for F is chair #1. Since R sits next to F, we can conclude that R sits in chair #2: F R B G I S B 1 2 3. 4.5 6 7 Let's look at the answer choices: (A) H sits west of F. Impossible. F is #1 so no one can sit west of him. (B) J sits west of I. Could be. J could sit in chair #3, which would put H in chair #7 and T in chair #4: F R J T I S H (C) R sits west of F Impossible. Again, no one can sit west of F. (D) T sits west of F. Impossible. F is #1 (E) T sits west of R Impossible. R is #2 and the only person west of her is F in chair #1. Let me know if this makes sense and if you have any further questions.

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