find the number of ways of arranging
N people in a straight line, if two particular people must always be separated.
explain elaborately with workings please. Find the number of ways of arranging
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Google is not understand why the following
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the number of ways in which the people can be arranged is equal to N
Step-by-step explanation:
The number of arrangements in which the 2 people are together = the number of possible positions for the left-hand person multiplied by the number of people who can be that person, multiplied by the number of possible arrangements for the other N - 2 people
= (N - 1) x 2 x (N - 2)!
= 2 (N - 1)!
So the number of ways N people can be arranged in a straight line if 2 particular people must be separated = N! - 2(N - 1)!
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