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Korolek [52]
1 year ago
10

seven people arrive to dinner, but the circular table only seats six. if two seatings such that one is a rotation of the other a

re considered the same, then in how many different ways can we choose six people and seat them at the table?
Mathematics
1 answer:
Alenkinab [10]1 year ago
5 0

6 different people chosen from 7 can sit around the circular table in 840 ways.

Given that there are 7 people who have arrived for dinner.

But the circular table only seats 6.

Hence 1 person can be left out.

This can be done in 7 ways, which is a simple case of permutation.

A permutation is a combination of objects arranged in a particular sequence. The elements of sets are arranged in this case in a linear or sequential sequence.

Now 6 people will have to sit on the circular table.

Now from the properties of combination we know that , if n people sit around a circular table, then they can sit in n! ways.

Therefore 6 people can sit around a circular table in 6! ways.

6! = 120

Therefore total number of ways = 120 × 7 = 840

Hence 6 different people chosen from 7 can sit around the circular table in 840 ways.

To learn more about table visit:

brainly.com/question/16885576

#SPJ4

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50 ft
juin [17]

9514 1404 393

Answer:

  1725 ft²

Step-by-step explanation:

The formula for the area of a trapezoid is ...

  A = 1/2(b1 +b2)h

Here, the bases are given as 65 ft and 50 ft, and the height is 30 ft. Then the area is ...

  A = 1/2(65 ft +50 ft)(30 ft) = (1/2)(115 ft)(30 ft) = 1725 ft²

You tell the salesman your lawn area is 1725 square feet.

5 0
3 years ago
An angle measures 79.4 degrees more than the measure of its supplementary angle. What is the measure of each angle?
tatyana61 [14]

Answer:

The angles are: 50.3 and 129.7

Step-by-step explanation:

The sum of supplementary angles is 180°.

Let x be one angle then the other angle will be x+79.4

Using the supplementary angle sum

x+x+79.4 = 180\\2x+79.4 = 180\\2x = 180-79.4\\2x = 100.6\\\frac{2x}{2} = \frac{100.6}{2}\\x = 50.3

For the measurement of 2nd angle

x+79.4 => 50.3+79.4 => 129.7

Hence,

The angles are: 50.3 and 129.7

4 0
3 years ago
What is 11 5/8 divided by 2/3?
Westkost [7]
5
11*---
8
----------
2
----
3
next

55
------
8
= ---------
2
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3
next
3(55)
= ---------
16
next
165
= --------- or 10.3125
16

7 0
3 years ago
Given the triangle below, what is m<br> A. 46.2<br> B. 41.40<br> C. 48.4<br> D. 38.6°
Brrunno [24]

Answer:

B 41.4

Step-by-step explanation:

complete Pythagoras for general triangles :

c² = a² + b² - 2ab×cos(C)

with "c" being the side opposite of the angle C.

=>

8² = 10² + 12² - 2×10×12×cos(C)

64 = 244 - 240×cos(C)

240×cos(C) = 244 - 64 = 180

cos(C) = 180/240 = 18/24 = 3/4 = 0.75

C = 41.40962211... ≈ 41.4

5 0
3 years ago
"A cylindrical container has a radius of 25 inches and a height of 31 inches. What is the volume of
photoshop1234 [79]

Use the formula:

Radio= r, Height= h

V= 3.14xrx2h

r =25, h=31

V= 3.14 x 25 x 2 (31) =. 4867

V= 4867 cubic inches

Step-by-step explanation:

5 0
3 years ago
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