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3 years ago

Help ASAP!!! ILL GOVE BRAINLIEST IF YOU GET IT RIGHT!

Mathematics

1 answer:

fomenos3 years ago

7 0

Step-by-step explanation:

I am not sure but i think it is D or E (last 2 choices)

Sorry if wrong

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Find out the number of combinations and the number of permutations for 8 objects taken 6 at a time. Express your answer in exact

umka2103 [35]

Solution:

The permutation formula is expressed as

$\begin{gathered} P^n_r=\frac{n!}{(n-r)!} \\ \end{gathered}$

The combination formula is expressed as

$\begin{gathered} C^n_r=\frac{n!}{(n-r)!r!} \\ \\ \end{gathered}$

where

$\begin{gathered} n\Rightarrow total\text{ number of objects} \\ r\Rightarrow number\text{ of object selected} \end{gathered}$

Given that 6 objects are taken at a time from 8, this implies that

$\begin{gathered} n=8 \\ r=6 \end{gathered}$

Thus,

Number of permuations:

$\begin{gathered} P^8_6=\frac{8!}{(8-6)!} \\ =\frac{8!}{2!}=\frac{8\times7\times6\times5\times4\times3\times2!}{2!} \\ 2!\text{ cancel out, thus we have} \\ \begin{equation*} 8\times7\times6\times5\times4\times3 \end{equation*} \\ \Rightarrow P_6^8=20160 \end{gathered}$

Number of combinations:

$\begin{gathered} C^8_6=\frac{8!}{(8-6)!6!} \\ =\frac{8!}{2!\times6!}=\frac{8\times7\times6!}{6!\times2\times1} \\ 6!\text{ cancel out, thus we have} \\ \frac{8\times7}{2} \\ \Rightarrow C_6^8=28 \end{gathered}$

Hence, there are 28 combinations and 20160 permutations.

7 0

1 year ago

In science class, Mrs. Moore’s students were directed to weigh a 300-gram mass on the balance scale. Tina weighed the object and

valentinak56 [21]

Answer:

Think it's 109.33

Step-by-step explanation:

look it up brodie

3 0

3 years ago

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Helen [10]

Answer:

Step-by-step explanation:

Using desmos we can see that the slope is positive and increasing while Mallory made a negative slope.

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Ilya [14]

Answer:

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Step-by-step explanation:

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3 years ago

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alexandr402 [8]

Answer:

Step-by-step explanation:

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