n articles are arranged in such a way that 2 particular articles never come together. the number of such arrangement is????
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Answered by
40
ANSWER.
N. particles arrange in a way = n!
if two particles are arranged together then
there is only (n-1) particles
when two particles are together = (n-1)!
and two particles are arranged in= 2! ways
Thus, number of ways in which no particles
are not come together
=n! -2×(n-1)!
=( n-1)!×(n-2)
N. particles arrange in a way = n!
if two particles are arranged together then
there is only (n-1) particles
when two particles are together = (n-1)!
and two particles are arranged in= 2! ways
Thus, number of ways in which no particles
are not come together
=n! -2×(n-1)!
=( n-1)!×(n-2)
Answered by
2
Answer:
Total no.of article=n!
can come together= 2(n-1)!
Two particular articles never come together
n!-[2(n-1)!]
n×(n-1)! - [2(n-1)!]
(n-1)! (n-2)
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