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3 years ago

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

Im not good with least to greatest in fractions, Please help me

tiny-mole [99]

Answer:

From least to greatest it is -5/2, -2, then 1.7

Step-by-step explanation:

First by process of elimination, 1.7 is the only positive number, so it is the greatest number compared to the other two.

Now we are left with -2 and -5/2.

We can rewrite -2 as $-\frac{2}{1}$ , as any number by itself itself is the number over 1.

Then we need to find the common denominator for both fractions, meaning they must share the same bottom number.

The 1 in the denominator can be multiplied by 2 to get a denominator of 2 , the same as the denominator for $-\frac{5}{2}$ .

Since the denominator is multiplied by 2, the numerator also has to be multiplied by 2:

$-\frac{2}{1} *\frac{2}{2}$ $=-\frac{4}{2}$

Now since both fractions share the same denominator, we can compare them by their numerators. 5 is greater than 4, but we must keep in mind that these are negative. The larger the negative number, the smaller the value.

So when comparing -4/2 and -5/2, -5/2 is smaller.

So our final answer from least to greatest is -5/2, -2, then 1.7

8 0

4 years ago

×-5y=-15<br> Complete the missing value in the solution to the equation<br> (-5,__)

Readme [11.4K]

Answer:

(-5 , 2 )

Step-by-step explanation:

hello :

×-5y=-15

5y = x+15

y = (1/5)x+3 for x= - 5 y = (1/5)(-5) +3 so : y = 2

3 0

3 years ago

Ill give Brainliest. please explain your answers. im so confused on these questions :((

Katen [24]

Answer:

I'll answer the first one. Neither vehicles are crossing the speed limit since both are under 40mph.

Step-by-step explanation:

6 miles every 10 minutes = 36 miles every hour.

15 miles every 25 minutes = 36 miles every hour.

Speed limit = 40 mph

Neither vehicles are crossing the speed limit since both are under 40mph.

Hope this helped! :))

8 0

3 years ago

-10 = y/11 - 13<br><br> solve for y

Flauer [41]

Answer:

10=y/11-13

We move all terms to the left:

-10-(y/11-13)=0

-y/11+13-10=0

We multiply all the terms by the denominator

-y+13*11-10*11=0

We add all the numbers together, and all the variables

-1y+33=0

We move all terms containing y to the left, all other terms to the right

-y=-33

y=-33/-1

y=+33

6 0

3 years ago

Read 2 more answers

In a continuous series, mean(x) = 80, assumed mean(A) = 60 and<br>EF=40 then find the value of EFd.

Aneli [31]

Using the given information, the value of Σfd is 800

<h3>Calculating mean using Assumed mean </h3>

From the question, we are to determine the value of Σfd

The formula for mean, using the assumed mean method is given by

$\bar x = A + \frac{\sum fd}{\sum f}$

Where $\bar x$ is the mean

A is the assumed mean

From the given information,

$\bar x = 80$

$A = 60$

$\sum f = 40$

Putting the parameters into the equation, we get

$80 = 60 + \frac{\sum fd}{40}$

$80-60 = \frac{\sum fd}{40}$

$20 = \frac{\sum fd}{40}$

$\sum fd = 20 \times 40$

$\sum fd = 800$

Hence, the value of Σfd is 800

Learn more on Mean here: brainly.com/question/20118982

#SPJ1

8 0

2 years ago