MATHEMATICS HIGH SCHOOL

Evaluate.
5 P 3 x 6 C 4

a. 150
b. 300
c. 900

Answers

Answer 1

Answer:

Answer:

Option (c) is correct.

$^5P_3*^6C_4$ is 900

Step-by-step explanation:

Given :Expression $^5P_3*^6C_4$

We have to find the value of given expression $^5P_3*^6C_4$

Consider the given expression $^5P_3*^6C_4$

The possibility of choosing an ordered set of r object from n object is given by

$nPr=(n!)/(\left(n-r\right)!)$

and The number of subset of r elements from n elements $nCr=(n!)/(r!\left(n-r\right)!)$

Thus, $^5P_3=(5!)/(\left(5-3\right)!)==(5!)/(2!)=5\cdot \:4\cdot \:3=60$

and $^6C_4=(6!)/(4!\left(6-4\right)!)==(6!)/(4!\cdot \:2!)==(6\cdot \:5)/(2!)=15$

Thus, $^5P_3*^6C_4=60* 15=900$

Thus, $^5P_3*^6C_4$ is 900

Answer 2

Answer: The answer is 300 because if u x the 5x3=15 and divide 6 and 4 is 1.5 then multipy that 22 then you put the letters in the equations

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Answers

45 degrees. You have here a right triangle with the angles of 90.45.45.

Which expression is equivalent to (7x - 5 ) - ( 3x - 2)?

Answers

$(7x - 5 ) - ( 3x - 2)$

$7x-5-3x+2$

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The manual for your boat engine calls 91 octane gas. The gas stations by your house only sell 87 and 93 octane. If the boat's tank holds 30 gallons, how many gallons of each should you buy for a 91 octane mix?

Answers

I not exactly sure if this is right but with the numbers that you are given, you can do a simple division problem of 91/30=3.0999 because you don't want decimals, you need a solid number of gallons you must buy you would have to buy 4 gallons for that 91 octane mix, leaving you with some gas.

Hope I helped you!

Please help i really need it

Answers

We are given
Revenue, g(x) = 2300x+1235, and
expenses, f(x) = 1600x+2385

We know that
profit = Revenue - expenses
=g(x)-f(x)
=2300x+1235 - (1600x+2385)
=2300x+1235 - 1600x - 2385
=2300x- 1600x +1235 -2385
=700x - 1150

You will need to move the numbered tiles into the answer boxes.

Twenty-four blue socks and twenty-four red socks are lying in a drawer in a dark room. What is the minimum number of socks you need to pull out of the drawer so that you are sure to have at least two blue socks

Answers

Answer:

26 socks

Step-by-step explanation:

There are a total of 48 socks here. Let us assume you pulled out 24 socks at a go and all are red. Now, you would have exhausted the number of red socks here. You would be left with only blue socks which you can pull one after the other to give a total of 26 socks pulled out to have 2 blue socks at least.

What is the correct answer, HELP PLEASE!!