2 years ago

A vending machine that serves coffee pours a varying amount of liquid into a cup with varying mass. Assume

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1 answer:

bonufazy [111]2 years ago

7 0

Answer:400

Step-by-step explanation:

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2 years ago

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Answer:

360

Step-by-step explanation:

Here we are required to find $_^{6}\textrm{P}_{4}$

It is a problem of Permutation and we must understand the formula for finding permutations.

The general formula for finding the permutation is given as below:

$_^{m}\textrm{P}_{n}=\frac{m!}{(m-n)!}$

Hence

$_^{6}\textrm{P}_{4}=\frac{6!}{(6-4)!}$

$_^{6}\textrm{P}_{4}=\frac{6!}{2!}$

Where

$m!=m\times(m-1)\times\(m-2)\times\cdot\cdot\cdot\codt\cdot3\times2\times1$

$6!=6\times5\times4\times3\times2\times1$

$2!=2\times1$

Hence

$_^{6}\textrm{P}_{4}=\frac{6\times5\times4\times3\times2\times1}{2\times1}$

$_^{6}\textrm{P}_{4}=6\times5\times4\times3$

$_^{6}\textrm{P}_{4}=360$

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