
Concept explainers
(a)
To find:the number of ways can the points on circle be named using letter
(a)

Answer to Problem 19PPS
There is a
Explanation of Solution
Given:
Seven point are chosen from the circle.
Concept used:
The number of ways of arranging
The probability formula is used to compute the probability of an event to occur as:
Calculation:
The number of distinguishable permutations of n objects arranged in a circle with no fixed reference point is:
The
Hence, there is a
(b)
To find:the number of possible arrangements if one point on circle is fixed.
(b)

Answer to Problem 19PPS
There is
Explanation of Solution
Given:
Seven point are chosen from the circle.
Concept used:
The number of ways of arranging
The probability formula is used to compute the probability of an event to occur as:
Calculation:
Since the points are named with a fixed reference points, this is a linear permutation. There are
Hence, there is
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