a print shop printed and assembled 8 books in 5 minutes. At this rate how many books can be printed and assembled 3 hours?
2 answers:
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Answer with Step-by-step explanation:
Permutation : It is an arrangement of r elements out of n elements.
Combination : it is a selection of r element out of n elements .
Suppose we have a set
S={1,2,3}
If two elements are taken at a time then
Using permutation formula
Total number of outcomes=
Total number of outcomes=
Total number of outcomes=3!=
Using combination formula
Total number of outcomes=
Total number of outcomes=
Hence, total number of outcomes=3
Total number of outcomes determined by permutation have more outcomes.
Because permutation is an arrangement of elements therefore, it consider order of arrangement of element but combination is a selection of elements it does no consider order of elements
Arrangements of two elements out of 3 elements
{1,2},{2,3},{2,1},{3,2},{1,3},{3,1}
By using combination if two elements taken at a time then combination
{1,2},{2,3},{1,3}
to find the vertical asymptote, set the denominator equal to zero and solve for x.
to find the horizontal asymptote, only evaluate the terms in the numerator and denominator that have the biggest exponent. Use the following rules (m is the exponent of the numerator and n is the exponent of the denominator):
m > n, then y = ∞ so there is no asymptote
m = n, then simplify the coefficients to determine the asumptote
m < n, then y = so the asymptote is y = 0
m = 2, n = 1 ⇒ m > n so y = ∞
Answer: there is no horizontal asymptote