A group of 5 men are meeting for lunch.
1 answer:
Tile:
<h2>See the explanation.</h2>Step-by-step explanation:
(a)
There were total 5 men wearing coats.
5 coats can be returned to 5 men in 5! = 120 ways.
The coats can be returned to the accurate persons only in 1 way.
Hence, the probability that each man gets the correct coat is .
(b)
At the time of returning the first coat, the hostess will have 5 choices and for the second she will have 4 choices.
Hence, in ways the hostess can return the 2 coats.
There is only 1 possible case that each of the coats will return to the correct owner.
Hence, the required probability is .
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ANSWER
EXPLANATION
We write the function such that both the numerator and the denominator are prime.
An example of a rational function with no vertical asymptotes and no holes is
For the above rational function, the denominator is never zero, so there are no vertical asymptotes.
Also the highest common factor for the numerator and the denominator is 1 so there are no holes.