The answer is 19,448 different
groups, using the formula from permutation and combinations C (n, r) = (n!) /
(r! (n-r)!) which calculates the number of times where r objects can be chosen
from n object.
So,
C (17,7) = (17!) / (7! *(17-7)!)
C (17,7) = (17!) / (7! *10!)
C (17,7) =
(17*16*15*14*13*12*11*10!) / (7! *10!) then eliminate 10!
C (17,7) = (17*16*15*14*13*12*11)
/ (7*6*5*4*3*2*1) = (98017920)(5040)
C (17,7) = 19,448 different
groups
Answer:
1/3
Step-by-step explanation:
There are 2 odd number and 1 even number.
Even chances: 1
Total chances: 3
Probability = 1/3
Answer:

Step-by-step explanation:
<u>Position in the Plane
</u>
If we place an object in a plane and mesure its x and y coordinates, we are referencig its position according to the rectangular system. Other popular way to reference positions is in polar form or magnitude-angle form. If we have the rectangular coordinates (x,y), we can easily find the polar coordinates
(and vice-versa). We use the formulas


We have x=31.4 Km East (a positive coordinate) and y=-102.5 Km South (negative because it's pointing downwards). we need to find the angle respect to the East reference where
. Check the image below for reference.


The angle can be also given as a positive quantity by adding 360^o


Answer:
91
Step-by-step explanation:
Replace x and y with given values
3^3 + 4^3
the third power of three is equal to 27 and the thrid power of 4 is equal to 64
27 + 64 = 91