Eight people (four married couples) arrange themselves randomly in eight consecutive seats in a row. Complete parts (a) and (b) below. (Hint: The denominator of the probability fraction will be 8!= 40,320, the total number of ways to arrange eight items.) The women will be in four adjacent seats. (a) Determine the number of ways in which the described event can occur. The event can occur in (Type a whole number.) (b) Determine the probability of the event. The probability is (Type an integer or a simplified fraction.) ways.
Eight people (four married couples) arrange themselves randomly in eight consecutive seats in a row. Complete parts (a) and (b) below. (Hint: The denominator of the probability fraction will be 8!= 40,320, the total number of ways to arrange eight items.) The women will be in four adjacent seats. (a) Determine the number of ways in which the described event can occur. The event can occur in (Type a whole number.) (b) Determine the probability of the event. The probability is (Type an integer or a simplified fraction.) ways.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Eight people (four married couples) arrange themselves randomly in eight consecutive seats in a row. Complete parts (a) and (b) below. (Hint: The denominator of the probability
fraction will be 8! = 40,320, the total number of ways to arrange eight items.)
The women will be in four adjacent seats.
(a) Determine the number of ways in which the described event can occur.
The event can occur in
(Type a whole number.)
(b) Determine the probability of the event.
The probability is
(Type an integer or a simplified fraction.)
ways.
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