Pls help!!!! Evaluate the permutations 1. 6P2 2. 7P4 3. 8P3

An experiment consists of choosing objects without regards to order. Determine the size of the sample space when you choose the

sdas [7]

Answer:

a

$n= 75, 582$

b

$n= 2300$

c

$n = 253$

Step-by-step explanation:

Generally the size of the sample sample space is mathematically represented as

$n = \left N } \atop {}} \right. C_r$

Where N is the total number of objects available and r is the number of objects to be selected

So for a, where N = 19 and r = 8

$n = \left 19 } \atop {}} \right. C_8 = \frac{19 !}{(19 - 8 )! 8!}$

$= \frac{19 *18 *17 *16 *15 *14 *13 *12 *11! }{11 ! \ 8!}$

$n= 75, 582$

For b Where N = 25 and r = 3

$n = \left 25 } \atop {}} \right. C_3 = \frac{25 !}{(19 - 3 )! 3!}$

$= \frac{25 *24 *23 *22 ! }{22 ! \ 3!}$

$n= 2300$

For c Where N = 23 and r = 2

$n = \left 23 } \atop {}} \right. C_2 = \frac{23 !}{(23 - 2 )! 2!}$

$= \frac{23 *22 *21! }{21 ! \ 3!}$

$n = 253$

4 0

3 years ago

91% of the students lost the bingo game.What percent of the students won the game?

Aleksandr [31]

9 percent won the game

5 0

3 years ago

Read 2 more answers

A vehicle factory manufactures cars. The unit cost (the cost in dollars to make each car) depends on the number of cars made. If

Nataly [62]

Answer:

The function is missing in the question. The function is $C(x) = 0.8x^2 -544x +97410$

The answer is 4930

Step-by-step explanation:

Unit cost of a car is given as

$C(x) = 0.8x^2 -544x +97410$

Cost will be minimum when

x = -(-544)/ 2 x 0.8

= 340

Therefore, minimum cost for unit car is

$C(x) = 0.8x^2 -544x +97410$

$= 0.8(340)^2 -544(340) +97410$

= 4930

4 0

3 years ago

Please help me answer this question

Oliga [24]

Answer:

B

Step-by-step explanation:

7 0

3 years ago

In the triangle below, 4/5 represents which ratio?

ASHA 777 [7]

Answer:
sin (C)

Explanation:
In a right-angled triangle, special trig functions can be applied. These functions are as follows:
sin (theta) = $\frac{opposite}{hypotenuse}$

cos (theta) = $\frac{adjacent}{hypotenuse}$

tan (theta) = $\frac{opposite}{adjacent}$ 

Now, let's check the triangle we have:
We have two options:
First option:
5 is the hypotenuse of the triangle
4 is the side adjacent to angle B
Therefore, we can apply the cos function:
cos (B) = $\frac{4}{5}$ 

Second option:
5 is the hypotenuse of the triangle
4 is the side opposite to angle C
Therefore, we can apply the sin function:
sin (C) = $\frac{4}{5}$

Among the two options, the second one is the one found in the choices. Therefore, it will be the correct one.

Hope this helps :)

8 0

3 years ago

Read 2 more answers

Pls help!!!! Evaluate the permutations 1. 6P22. 7P43. 8P3​

Pls help!!!! Evaluate the permutations 1. 6P22. 7P43. 8P3