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tekilochka [14]
3 years ago
6

In how many ways can we seat 6 people around a round table if Fred and Gwen insist on sitting opposite each other? (Two seatings

are considered equivalent if one is a rotation of the other.)

Mathematics
1 answer:
photoshop1234 [79]3 years ago
3 0
Make a picture of the problem.

Fred and Gwen are seated opposite each other, and we name the 4 remaining seats 1, 2, 3, 4, starting from the right of Fred.

There are 4 options for seat 1,

then 3 for the seat 2, after one is seated in the 1.st seat

2 options for the seat 3,

and 1 for the seat 4.

That is, the 4 friends can sit in 4*3*2*1=24 different ways.


Answer: 24

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Complete question :

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Step-by-step explanation:

Given:

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Length BC = 24 inches

Length AB = 25 inches

Since it is a right angle triangle,

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To find the measures of the angle in ∠A and ∠B, we have :

For ∠A:

SinA = \frac{BC}{AB}

SinA = \frac{24}{25}

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For ∠B:

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SinB = \frac{7}{25}

SinB = 0.28

B = Sin^-^1 = 0.96

∠B = 16.26 ≈ 16.3°

Therefore,

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