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Ivan
3 years ago
8

Evaluate the given expression 12c8

Mathematics
2 answers:
antoniya [11.8K]3 years ago
7 0

Answer:

The correct option is c.

Step-by-step explanation:

The given expression is

^{12}C_{8}

Combination formula:

^{n}C_{r}=\frac{n!}{r!(n-r)!}

Using the formula we get

^{12}C_{8}=\frac{12!}{8!(12-8)!}

^{12}C_{8}=\frac{12\times 11\times 10\times 9\times 8!}{8!(4)!}

^{12}C_{8}=\frac{12\times 11\times 10\times 9}{4\times 3\times 2\times 1}

^{12}C_{8}=495

Therefore the correct option is c.

4vir4ik [10]3 years ago
3 0
C 495 i know its right.
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Answer:

-3

Step-by-step explanation:

3 cis(180^\circ) means 3(\cos(180^\circ)+i \sin(180^\circ))

What is the x-coordinate value that corresponds to \theta=180^\circ. That value is -1.

What is the y-coordinate value that corresponds to \theta=180^\circ. That value is 0.

So this implies \cos(180^\circ)=-1 \text{ and } \sin(180^\circ)=0.

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Step-by-step explanation:

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