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GaryK [48]
3 years ago
8

A company has 8 cars and 11 trucks.The state inspector will select 3 cars and 4 trucks to be tested for safety inspections in ho

w many ways can this be done
Mathematics
1 answer:
boyakko [2]3 years ago
4 0

Answer:

Number of ways to select 3 cars and 4 trucks = 18,480

Step-by-step explanation:

Let x be the number of ways to select 3 cars and 4 truck.

Given:

Total number of cars = 8

Total number of Trucks = 11

We need to find out how many ways can the inspector select 3 cars and 4 truck.

Solution:

Using combination formula.

nCr = \frac{n!}{r!(n-r)!}

Where, n = Total number of object.

m = Number of selected object.

We need to find out how many ways can the inspector select 3 cars and 4 truck from 8 cars and 11 trucks.

So, we write the the combination as given below.

8C_{3}\times 11C_{4} = Number\ of\ ways\ to\ selection

\frac{8!}{3!(8-3)!} \times \frac{11!}{4!(11-4)!}= x

x = \frac{8\times 7\times 6\times 5!}{3!\times 5!} \times \frac{11\times 10\times 9\times 8\times 7!}{4!\times 7!}

Factorial 5 and 7 is cancelled.

x = \frac{8\times 7\times 6}{6} \times \frac{11\times 10\times 9\times 8}{24}                     (3! = 6\ and\ 4! = 24)

x = (8\times 7) \times (11\times 10\times 3)                (\frac{9\times 8}{24}=\frac{72}{24}=3)

x=56\times 330

x = 18480

Therefore, the Inspector can select 3 cars and 4 trucks in 18,480 ways,

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Step-by-step explanation:

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Given a regular decagon, find the measures of the angles formed by (
Sonja [21]
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The angles around the center add up to 360 because they form a circle and since there are 10, they each measure 36 degrees. So the answer to the first part (the angle between the radii) is 36 degrees.

Each of these triangles has two equal sides (both radii) so is Isosceles. That means that the base angles are congruent. So the two angles that are left in each triangle must measure the same. Since the angles in a triangle add up to 180 degrees, we know that the two remaining angles are together equal to 180-36=144 degrees. Since they are equal in measure they each measure 72 degrees.

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3 years ago
Solve the problem. Make sure your answer is in simplest form. 3/16 x 4/21 = ?
Irina18 [472]

Answer:

\frac{1}{28}

Step-by-step explanation:

The result is given by means of some algebraic handling:

\frac{3}{16}\times \frac{4}{21}

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\frac{3}{84} - Dividing each term by 2.

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