This is asking how many ways can we choose 13 songs from a set of 25.
The formula is:
n! / r! * (n -r)! =
25! / 13! * 12! which equals
25 *24 *23 *22 *21 *20 *19 *18 *17 *16 *15 *14 *13! divided by
13! * 12! which equals
25 *24 *23 *22 *21 *20 *19 *18 *17 *16 *15 *14 divided by
12* 11* 10* 9* 8* 7* 6* 5* 4* 3* 2*
which equals
<span>
<span>
<span>
2,490,952,020,480,000
</span>
</span>
</span>
divided by
<span>
<span>
<span>
479,001,600
</span>
</span>
</span>
and that equals
<span>
<span>
<span>
5,200,300
</span>
</span>
</span>
combinations
Here's a combination calculator to check your work:
http://www.1728.org/combinat.htm
On the complex plane, the number
is mapped onto the point with coordinates
.
In other words, the x coordinate is the real part of the number, while the y coordinate is the complex part of the number.
Viceversa, if you start from a point
, you can identify the number
.
So, the endpoints of the diagonal are the points
and
. These are points A and C in the attached figure.
This means that points B and D have coordinates

So, the correspondant complex numbers are

Hi!
The answer is one
When you solve this system of equations you get an answer for y and an answer for x.
It looks kinda like this: x=3, y=-4
Thus, your answer is one solution
I hope this helps!
Feel free to give brainliest if you think I deserve it!
Answer:
P=2.25x-----------1
M=2.25y----------2
Step-by-step explanation:
Step one:
given data
we are told that the cost of pears= $2.25 each
and cost of mango= $2.25 each
Step two:
the chef bought x pears and y mangoes
let the total cost of pears be P
and for mango be M
P=2.25x-----------1
M=2.25y----------2
How many books has she read so far? She's been doing this for 7 months, so so far she's read:
7*3=21
how many does she still need to read?
30-21=9
so she needs to read 9 more books. With 3 books a month, this means:
9/3=3
so she needs to read 9 more books, which will take her 3 months!