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In a relay race, there are six teamsA, B, C, D, E and E What is the probability that A, B, C finish first, second, third respectively ?
  • a)
    1/2
  • b)
    1/12
  • c)
    1/60
  • d)
    1/120
Correct answer is option 'D'. Can you explain this answer?
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In a relay race, there are six teamsA, B, C, D, E and E What is the pr...


Solution:

Total number of ways to finish the race:
- Since there are 6 teams, the total number of ways they can finish the race is 6! = 720.

Number of ways for A, B, C to finish first, second, third respectively:
- Since A, B, and C need to finish in a specific order (A first, B second, C third), the number of ways they can finish in this order is 3! = 6.

Probability:
- The probability of A, B, C finishing first, second, third respectively is the number of ways they can finish in that order divided by the total number of ways the race can finish.
- Therefore, the probability is 6/720 = 1/120.

Therefore, the correct answer is option 'D' - 1/120.
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In a relay race, there are six teamsA, B, C, D, E and E What is the probability that A, B, C finish first, second, third respectively ?a)1/2b)1/12c)1/60d)1/120Correct answer is option 'D'. Can you explain this answer?
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