In how many ways can 5 different books be arranged on a shelf? 5 24 120

Mathematics

1 answer:

vlabodo [156]2 years ago

7 0

120 ways. More details in attachment.

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1/3 + 1/4 and the the sinplest form

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The least common multiple between 3 and 4 is 12, so we can use this fact to rewrite both 1/3 and 1/4 in 12ths:

$\big( \frac{1}{3}\times \frac{4}{4}\big) + \big(\frac{1}{4}\times \frac{3}{3}\big)=\\ = \frac{4}{12}+ \frac{3}{12}\\\\ = \frac{7}{12}$

We're left with an answer of 7/12, which can't be reduced.

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Producing 73.8 units gives the lowest possible average cost.

The average cost (AC) is the ratio of the total cost to the number of units produced. It is given by:

AC = C(x) / x