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Updated on: 18 Feb 2025, 12:44
Originally posted by EgmatQuantExpert on 11 Apr 2018, 23:18.
Last edited by Bunuel on 18 Feb 2025, 12:44, edited 6 times in total.
Last edited by Bunuel on 18 Feb 2025, 12:44, edited 6 times in total.
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
79% (00:57) correct
21%
(01:08)
wrong
based on 482
sessions
History
Date
Time
Result
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There are 7 participants in a race of 400m. In how many ways can 3 different prizes be distributed to the top 3 winners?
A. 35
B. 140
C. 210
D. 280
E. 300
Fool-proof method to Differentiate between Permutation & Combination Questions - Exercise Question #2
Learn to use the Keyword Approach in Solving PnC question from the following article:
Article-1: Learn when to “Add” and “Multiply” in Permutation & Combination questions
Article-2: Fool-proof method to Differentiate between Permutation & Combination Questions
A. 35
B. 140
C. 210
D. 280
E. 300
Fool-proof method to Differentiate between Permutation & Combination Questions - Exercise Question #2
Learn to use the Keyword Approach in Solving PnC question from the following article:
Article-1: Learn when to “Add” and “Multiply” in Permutation & Combination questions
Article-2: Fool-proof method to Differentiate between Permutation & Combination Questions
Updated on: 17 Apr 2018, 08:56
Originally posted by EgmatQuantExpert on 11 Apr 2018, 23:20.
Last edited by EgmatQuantExpert on 17 Apr 2018, 08:56, edited 1 time in total.
Last edited by EgmatQuantExpert on 17 Apr 2018, 08:56, edited 1 time in total.
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Solution
Given:
- • 7 runners are participating in the race of 400m.
To find:
- • The number of top 3 winners can get the prizes.
Approach and Working:
- • We need to first select the 3 winners among the 7 participants and then arrange the prizes among them.
- o Thus, this is a permutation question.
Hence, option C is the correct answer.
Answer: C
11 Apr 2018, 23:49
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EgmatQuantExpert
Since there are 7 participants, the 3 different prizes can be distributed as follows:
There are 7 ways of distributing the first prize. Similarly, there are 6 ways
and 5 ways of distributing the second and third prizes respectively.
Therefore, there are 7*6*5 = 210 ways(Option C) in which the different prizes can be distributed.
