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Natasha2012 [34]
3 years ago
8

A person has 5 tickets for a concert and she wants to invite 4 of her 8 best friends. How many choices does she have, if two of

her friends do not get along and cannot be both invited?
Mathematics
1 answer:
kirill [66]3 years ago
4 0

Answer:

55

Step-by-step explanation:

Combinations formula is used to make choice of 'R' out of 'N' options =

N(C)R = N ! / [ R ! . (N-R)! ]

Total choices to choose 4 out of 8 friends = 8C4

= 8! / (4! 4!)  

= 70

Choices for calling them 2 together = 2C2 x 6C2

= 1 x [ 6! / (2! 4!)]

= 15

So : Number of choices that the 2 friends are not called together = Total choices - choices they are called together

= 70 - 15 = 55

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Now the slope is the coefficient of the x term which is 1/2.

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a circle has a circumstance of 20. it has an arc on length 4. what is the central angle of the arc in degrees?
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∠72°.

Step-by-step explanation:

If a circle has a circumference of 20 and an arc with a length of 4, we can simply set up a ratio to determine the angle of the arc in degrees:

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Step-by-step explanation:

It is given that the two figures are similar. This means that the ratio between the corresponding sides is equal. In essence, a side in the larger figure over its corresponding side in the smaller figure is equal to another side in the larger figure over its corresponding side in the smaller figure. Therefore, one can set up a proportion and solve to find the unknown side.

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