Mathematics, 14.08.2020 08:01 hardwick744

Evaluate plz plz plz help me i am soo confused

Answers: 2

Show answers

Answers

Answer from: juniorgutierrez997

Hey there! I'm happy to help!

QUESTION 100

Here, we are looking for the number of permutations. A permutation is the number of possible arrangements you can make from a given set of things (order matters). If you have 6 kids standing in alphabetical order in line, that is one permutation. If you do reverse alphabetical order, that is a different permutation.

We are asked to find the number of permutations using the given format:

$_{n}P_{r}\\$

This is simply a representation of what we want to find. The P means we are looking for the number of permutations. The n is the total number of objects in the set (for example, if there were 26 kids we could choose from to make this 6 person line, n would be 26). The r is the number of things chosen from the set (in our line example, the r would be six because we are choosing 6 kids).

The formula for finding the number of permutations is $\frac{n!}{(n-r)!}$ . The ! is factorial, it means you multiply that number by every integer counting backwards towards 1. 6! is 6×5×4×3×2×1. There is an option to do this on your calculator, though.

Let's solve this problem.

$_{5}P_{4}=\frac{5!}{(5-4)!}= \frac{120}{1} =120$

This means that there are 120 permutations.

QUESTION 101

Now we have a C. This is similar to permutations but with combinations order does not matter. With our line example, having the same six kids in alphabetical order is a different permutation than having it in backwards alphabetical order. With combinations, if you have those specific six kids, it is just one combination; the order does not matter.

The formula for combinations is $\frac {n!}{r!(n-r)!}$ . Let's plug in our numbers and solve for this.

$_{8}C_{2}=\frac{8!}{2!(8-2)!} =\frac{8!}{2!(6!)}=\frac{40320}{1440} =28$

QUESTION 102

Quick note: 0! is equal to 1. I don't really know why but there's probably proof somewhere.

$_{7}C_{0}=\frac{7!}{0!(7-0)!} =\frac{7!}{7!} =1$

And I believe you already have Question 103 figured out.

4!=4×3×2×1=24

Have a wonderful day! :D

Answer from: Quest

(x, y)→(x − 8, y − 7)

step-by-step explanation:

enjoy!

Answer from: Quest

if x = 1, then the answer is 3.5

Another question on Mathematics

Mathematics, 21.06.2019 16:30

Yoku is putting on sunscreen. he uses 2\text{ ml}2 ml to cover 50\text{ cm}^250 cm 2 of his skin. he wants to know how many milliliters of sunscreen (c)(c) he needs to cover 325\text{ cm}^2325 cm 2 of his skin. how many milliliters of sunscreen does yoku need to cover 325 \text{ cm}^2325 cm 2 of his skin?

Answers: 3

Answer

Mathematics, 21.06.2019 20:30

The areas of two similar triangles are 72dm2 and 50dm2. the sum of their perimeters is 226dm. what is the perimeter of each of these triangles?

Answers: 1

Answer

Mathematics, 21.06.2019 21:00

Tessa bought stock in a restaurant for $253.00. her stock is now worth $333.96. what is the percentage increase of the value of tessa's stock? a.) 81% b.) 32% c.) 24% d.) 76%

Answers: 1

Answer

Mathematics, 21.06.2019 22:00

Billie holiday sells children's clothing for sara vaughn's toddler shop. baby blankets sell for $29.99 after a markup rate based on cost of 109%. find the cost and the markup.

Answers: 2

Answer

You know the right answer?

Evaluate plz plz plz help me i am soo confused
...

Questions

Mathematics, 30.03.2020 21:27

Which expression is equal to square root 3x...

Engineering, 30.03.2020 21:27

Estimate the theoretical fracture strength of a brittle material if it is known that fracture occurs by the propagation of an elliptically shaped surf...

Mathematics, 30.03.2020 21:27

The equation of a circle is given below. (x-5.2)^{2}+(y+3.7)^{2} = 49(x−5.2) 2 +(y+3.7) 2 =49(, x, minus, 5, point, 2, ), squared, plus, (, y, plus, 3...