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31 May 2019, 00:07
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D
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Difficulty:
25%
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75% (01:12) correct
25%
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wrong
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For a jambalaya cook-off, there will be x judges sitting in a single row of x chairs. If x is greater than 3 but no more than 6, which of the following could be the number of possible seating arrangements for the judges?
I. 120
II. 500
III. 720
A. I only
B. II only
C. III only
D. I and III only
E. I, II and III
I. 120
II. 500
III. 720
A. I only
B. II only
C. III only
D. I and III only
E. I, II and III
31 May 2019, 03:46
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Bunuel
For a jambalaya cook-off, there will be x judges sitting in a single row of x chairs. If x is greater than 3 but no more than 6, which of the following could be the number of possible seating arrangements for the judges?
I. 120
II. 500
III. 720
A. I only
B. II only
C. III only
D. I and III only
E. I, II and III
I. 120
II. 500
III. 720
A. I only
B. II only
C. III only
D. I and III only
E. I, II and III
total ways possible 4!= 24
5!=120
6!=720
IMO D
31 May 2019, 09:34
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This is, by far one of the easiest questions that you can see on Permutations. It tests the application of the \(n_p_r\) formula.
The number of ways in which n people can be seated on n chairs in a line, is given by n!. In this problem, we know that the number of judges can be 4 or 5 or 6.
Therefore, the number of ways of seating 4 judges on 4 chairs, in a line is 4! which is 24. Similarly, the number of ways of seating 5 judges on 5 chairs is 120 (5!) and for 6 judges, it is 720 (6!).
So, statements I and III could be two possible seating arrangements for the judges. The correct answer option is D.
For someone who’s practiced a lot on P&C, this question should be a 30 second attempt.
Hope this helps!
The number of ways in which n people can be seated on n chairs in a line, is given by n!. In this problem, we know that the number of judges can be 4 or 5 or 6.
Therefore, the number of ways of seating 4 judges on 4 chairs, in a line is 4! which is 24. Similarly, the number of ways of seating 5 judges on 5 chairs is 120 (5!) and for 6 judges, it is 720 (6!).
So, statements I and III could be two possible seating arrangements for the judges. The correct answer option is D.
For someone who’s practiced a lot on P&C, this question should be a 30 second attempt.
Hope this helps!
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