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
s2008m [1.1K]
3 years ago
10

Count the possible combinations of r letters chosen from the given list P.Q,R,S,T,U; r = 2

Mathematics
1 answer:
Tasya [4]3 years ago
4 0

Answer:

<h2>There are 30 possible combinations of picking two letters.</h2>

Step-by-step explanation:

The combinations are defined as

C^{r}_{n}=\frac{n!}{(n-r)!}

Where n is the total number of elements and r is the number of letter we are gonna picke, which is two. Using this information, we have

C^{2}_{6}=\frac{6!}{(6-2)!}=\frac{6!}{4!}=\frac{6 \times 5 \times 4!}{4!}=30

Therefore, there are 30 possible combinations of picking two letters.

You might be interested in
What is the value of x in the diagram
maw [93]
The answer is 100 degrees.

3 0
3 years ago
Read 2 more answers
Prisha buys 2.5 pounds of tomatoes that cost $0.54 per pound. How much does Prisha pay for the tomatoes?
Ganezh [65]
0.55+0.54=1.08 and 0.54 divided by 2 is 0.28 which you add 1.08+0.27 which is 1.35. Your answer is 1.35
5 0
3 years ago
Read 2 more answers
In a student body, 50% use Google Chrome, 9% use Internet Explorer, 10% Firefox, 5% Mozilla, and the rest use Safari. In a group
Likurg_2 [28]

Answer:

The probability that exactly 1 student is using Internet Explorer and at least 3 students are using Chrome is 0.1350.

Step-by-step explanation:

Denote the events as follows:

<em>C</em> = a student uses Google chrome

<em>E</em> = a student uses Internet explorer

<em>F</em> = a student uses Firefox

<em>M</em> = a student uses Mozilla

<em>S</em> = a student uses Safari

Given:

P (C) = 0.50

P (E) = 0.09

P (F) = 0.10

P (M) = 0.05

P (S) = 0.26

A sample of <em>n</em> = 5 students is selected.

The probability that exactly 1 student is using Internet Explorer and at least 3 students are using Chrome is:

P (E = 1 ∩ C ≥ 3) = P (E = 1 ∩ C = 3) + P (E = 1 ∩ C = 4) - P (E = 1 ∩ C = 5)

The probability distribution of a student using any of the browser is Binomial.

Compute the probability that exactly 1 student is using Internet Explorer and at least 3 students are using Chrome as follows:

P (E = 1 ∩ C ≥ 3) = P (E = 1 ∩ C = 3) + P (E = 1 ∩ C = 4) - P (E = 1 ∩ C = 5)

                          = P (E = 1) [P (C = 3) + P (C = 4) - P (C = 5)]

       ={5\choose 1}(0.09)^{1}(1-0.09)^{5-1}[{5\choose 3}(0.50)^{3}(1-0.50)^{5-3}+{5\choose 4}(0.50)^{4}(1-0.50)^{5-4}\\-{5\choose 5}(0.50)^{5}(1-0.50)^{5-5}]\\=0.3086[0.3125+0.1563-0.0313]\\=0.3086\times 0.4375\\=0.1350

Thus, the probability that exactly 1 student is using Internet Explorer and at least 3 students are using Chrome is 0.1350.

5 0
3 years ago
In the bakery 4 cupcakes in one box. If 6 cups
rusak2 [61]

Answer:

There were 240 cupcakes in the bakery

Step-by-step explanation:

Assume that the number of boxes used is x

∵ If 6 cups  were placed in the box, there would be 20 boxes left

∴ The number of cups in each box = 6

∴ The number of boxes used = (x - 20)

→ Multiply the number of cups in each box by the number of boxes

  used to find the total number of cups

∵ The number of cups = 6(x - 20)

∴ The number of cups = 6x - 120 ⇒ (1)

∵ If 3 cupcakes were placed in each box, it  would run out of 20 boxes

∴ The number of cups in each box = 3

∴ The number of boxes used = (x + 20)

→ Multiply the number of cups in each box by the number of boxes

  used to find the total number of cups

∵ The number of cups3(x + 20)

∴ The number of cups = 3x + 60 ⇒ (2)

∵ The number of cups is the same in the two cases

→ Equate the right sides of (1) and (2)

∴ 6x - 120 = 3x + 60

→ Add 120 to both sides

∴ 6x = 3x + 180

→ Subtract 3x from both sides

∴ 3x = 180

→ Divide both sides by 3 to find x

∴ x = 60

∴ The number of boxes used is 60

∵ In the bakery 4 cupcakes in one box

∵ The number of boxes is 60

∴ The number of cupcakes = 4 × 60

∴ The number of cupcakes = 240

∴ There were 240 cupcakes

6 0
3 years ago
Chang wants to spend at least five and a half hours preparing for a test. If he studies for 40 minutes every day for a week, whi
Yanka [14]

Answer:

C

Step-by-step explanation:

40 minutes every day for a week is 40 multiplied by 7, which is 280. Dividing that by 60 is 4 remainder 40, so 4 hours and 40 minutes.

7 0
3 years ago
Other questions:
  • Solve for N. -N/5= -5
    15·2 answers
  • What is 578 rounded to the nerist 100?
    9·1 answer
  • Noamis fish is 40 millimeters long.Her guiena pig is 25 meters long .How much longer is her guenia pig than her fish
    10·1 answer
  • The volume of the sun is approximately 1 × 1018 cu km, while the volume of Jupiter is approximately 1 × 1015 cu km. Which of the
    13·1 answer
  • What are the possible degrees for the polynomial function?
    13·1 answer
  • A science class measured the mass of a balloon to be 4 grams.After the balloon was inflated the mass was 8 grams.What was the ma
    8·2 answers
  • 4g+(6+2g)⋅3=<br><br> Simplify to create an equivalent expression.
    8·1 answer
  • PLEASE ANSWER FAST!IM TIMED——————————What is the sum of the fractions? Use the number line to help find the answer.
    9·1 answer
  • Solve for x. Enter your answer below as a fraction in lowest terms, using the
    8·1 answer
  • The combined area of a square and a rectangle is 225 square yards. the length of the rectangle is 8 times the width of the recta
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!