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18 Feb 2025, 13:17
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C
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Difficulty:
35%
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Question Stats:
67% (01:30) correct
33%
(01:54)
wrong
based on 84
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In a video game, a player is faced with the task of moving from point A to point B to point C, and then returning from point C to point A through point B, without retracing any path. There are 5 paths from point A to point B, and 8 paths from point B to point C. In how many different ways can the player accomplish the task?
(A) 2,240
(B) 1,600
(C) 1,120
(D) 68
(E) 24
(A) 2,240
(B) 1,600
(C) 1,120
(D) 68
(E) 24
18 Feb 2025, 21:46
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Moving from A to B we have 5 distinct paths and from B to C we have 8 distinct paths . Hence , we have a total of 5*8= 40 distinct paths moving from A to C via B.
We are given, retracing same path is not allowed 🚫- which results in one path being removed from A to B and B to C. Leaving 4 and 7 paths respectively. . Therefore, 7*4=28 paths.
Total = 40*28 = 1120. Option C
We are given, retracing same path is not allowed 🚫- which results in one path being removed from A to B and B to C. Leaving 4 and 7 paths respectively. . Therefore, 7*4=28 paths.
Total = 40*28 = 1120. Option C
