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Zorluk: KolaySeating Arrangement

Six friends (M, N, O, P, Q, and R) are sitting in a straight row facing North. Based on the following conditions, arrange the friends in the correct order from left to right:

1. M sits at the extreme left end of the row.
2. R sits at the extreme right end of the row.
3. There are exactly two people sitting between M and P.
4. N sits immediately to the left of P.
5. Q sits immediately to the left of R.
6. O sits immediately to the right of M.

  1. 1M
  2. 2O
  3. 3N
  4. 4P
  5. 5Q
  6. 6R

Cevap

The correct sequence from left to right is M, O, N, P, Q, and R.
By systematically applying the absolute boundary conditions first (M and R at the ends) and then mapping out the relative conditions (gaps and immediate neighbors), only one unique arrangement is possible: M, O, N, P, Q, R.

Adım Adım Çözüm

1
Determine the extreme ends of the row.
M is placed at position 1, and R is placed at position 6. (M, _, _, _, _, R)
Conditions 1 and 2 explicitly state the exact positions of M and R at the left and right ends respectively.
2
Find P's position relative to M.
P is placed at position 4. (M, _, _, P, _, R)
Condition 3 dictates there are exactly two people between M (position 1) and P. The only valid position for P is position 4.
3
Place N relative to P.
N is placed at position 3. (M, _, N, P, _, R)
Condition 4 states N sits immediately to the left of P. Since P is 4th, N is 3rd.
4
Place Q relative to R.
Q is placed at position 5. (M, _, N, P, Q, R)
Condition 5 states Q sits immediately to the left of R. Since R is 6th, Q is 5th.
5
Place O relative to M.
O is placed at position 2. (M, O, N, P, Q, R)
Condition 6 states O sits immediately to the right of M, which fills the last remaining seat.

Anahtar Kavram

Linear Seating Arrangement
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Konular

Seating Arrangement

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