1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Leno4ka [110]
3 years ago
11

BRAINLIEST! BRAINLIEST! PERMUTATIONFind the value: (show your solution)​

Mathematics
1 answer:
dlinn [17]3 years ago
3 0

Answer:

(1) \ _8P_8 = 40320\\\\(2) \ _1_0P_4 = 5040\\\\(3) \ \frac{_1_0P_5}{_5P_3} = 504\\\\(4) \ \frac{_6P_2 \ . \ _8P_5}{_1_0P_6} = 1\frac{1}{3} \\\\(5) \ \frac{_8P_2 \ . \ _8P_6}{_7P_6 \ . \ _4P_2} = 18\frac{2}{3}

Step-by-step explanation:

(1) \ _8P_8 = \frac{8!}{(8-8)!} = \frac{8!}{0!} = 8! = 40320

(2) \ _1_0P_4 = \frac{10!}{(10-4)!} = \frac{10!}{6!} = \frac{10\times 9\times 8 \times 7 \times 6!}{6!} = 10\times 9\times 8 \times 7  = 5040

(3) \ \frac{_1_0P_5}{_5P_3} =\frac{(10!)/(10-5)!}{(5!)/(5-3)!} = \frac{(10!)/(5!)}{(5!)/(2!)} = \frac{10\times 9 \times 8\times 7\times 6}{5\times 4 \times 3} = 504

(4) \ \frac{_6P_2  \ . \ _8P_5}{_1_0P_6} = \frac{(6!)/(6-2)! \ \times\  (8!)/(8-5)!}{(10!)/(10-6)!} = \frac{(6!)/(4!) \ \times \ (8!)/(3!)}{(10!) /(4!)} = \frac{6! \ \times \ 8!}{10! \ \times \ 3!} \\\\= \frac{6\times 5 \times 4 \times 3! \ \times 8!}{10\times 9 \times 8! \ \times \ 3!} = \frac{6\times 5 \times 4}{10\times 9} = \frac{4}{3} = 1\frac{1}{3}

(5) \ \frac{_8P_2 \ . \ _8P_6}{_7P_6 \ . \ _4P_2} = \frac{(8!)/(6!) \ \times \ (8!)/(2!)}{(7!)/(1!) \ \times \ (4!)/(2!)} = \frac{8! \ \times \ 8!}{7! \ \times \ 6! \ \times \ 4!} = \frac{(8 )\ \times \ (8 \times 7)}{4!} =\frac{(8 )\ \times \ (8 \times 7)}{4\times 3 \times 2}\\\\= \frac{56}{3} = 18 \frac{2}{3}

You might be interested in
If 1 liter cost $12 how much does 0.7 liters cost​
kogti [31]

Answer:

$8.40

Step-by-step explanation:

You multiply $12 by 0.7 and get $8.40

3 0
3 years ago
Read 2 more answers
The coefficient in the expression -x - 10 is
aivan3 [116]

Answer: I think the coefficient is -x

8 0
3 years ago
Read 2 more answers
Is the following statement possible or impossible ?
STatiana [176]

Answer:

possible. it's a scalene triangle, an angle with different lengths

8 0
3 years ago
A new bank customer with $3,000 wants to open a money market account. The bank is offering a simple interest rate of 1.1%. How m
pickupchik [31]
$3,660

The formula is P*R*T and that stands for principal * rate * time (in years). When you use the formula and plug in all of the numbers, you get the answer $3,660.

Hopefully this helps!
-Coconut;)
3 0
3 years ago
You are baking brownies for your class. There are 28 total students in your class and you have baked 23 brownies. Write and solv
barxatty [35]

Answer:

2(28)=23+x

Step-by-step explanation:

There are 28 students and each student needs two brownies. You have to multiply 28 by 2 so you will have to total number on one side.

On the other you need to have the number of brownies you have at the moment and x for the number you need to bake. You want to add them because you will need to put those numbers together to get the number on the opposite side.

28x2=56 so 56=23+x. Subtract the 23 from both sides to get 33=x. x=33

To check plug 33 into x to get 2(28)=23+33. 56=23+33. 56=56

you need 33 more brownies.

So the equation would be 2(28)=23+x.

Hope that helps.

3 0
3 years ago
Other questions:
  • Solve 765/14 and write your answer in terms of a mixed number
    9·1 answer
  • What is the simplest form of 22 over 8 as a fraction
    14·2 answers
  • A coordinate plane showing the Speed of a Red Kangaroo. The x-axis shows Time in seconds and the y-axis shows Distance Traveled
    10·2 answers
  • What is this expression in simplified form  (6√2)(−3√5)??
    9·2 answers
  • The value of the fraction 3c+2/4 one less than the value of the fraction 5c-1/3<br><br> Solve for c
    5·1 answer
  • In 1994, the moose population in a park was measured to be 4600. By 1997, the population was measured again to be 4300. The popu
    6·1 answer
  • Um who else is in love with Kenma Kozume?
    14·1 answer
  • I really need help with this!!! someone help please
    15·1 answer
  • . Draw a line segment XY of length 6 cms. Draw a perpendicular bisector PQ to XY.... pls help​
    12·1 answer
  • In a football tournament, each team plays exactly 19 games.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!