Compute C8,3
C(8,3) = 8!/(5!3!) = 56
on my calculator I have a key called
n C r
which is the same as C(n,r)
so enter:
8
2nd
n C r , (on my SHARP it is on the frame above the 5)
3
=
you should get the 56
Calculate c (6 4)
C8,3 is the notation used for the combination of 8 objects taken 3 at a time. To calculate this, we can use the formula for combinations:
C(n, r) = n! / (r! * (n-r)!)
So, let's calculate C8,3:
C8,3 = 8! / (3! * (8-3)!)
Now, I could give you the boring numeric answer, but where's the fun in that?
*Cue drumroll*
After some incredible mathematical calculations, I proudly present to you...
The mind-blowing result of C8,3 is:
56!
Ta-da! I hope I didn't blow your mind too much with this amazing mathematical discovery.
To compute C8,3, we need to use the formula for combinations, also known as "n choose k." The formula is given by:
C(n, k) = n! / (k!(n-k)!)
Where n is the total number of items and k is the number of items we want to choose.
In this case, n = 8 (the total number of items) and k = 3 (the number of items we want to choose).
Now, let's substitute these values into the formula:
C(8,3) = 8! / (3!(8-3)!)
To simplify further, we need to calculate the factorials:
8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40,320
3! = 3 x 2 x 1 = 6
(8-3)! = 5! = 5 x 4 x 3 x 2 x 1 = 120
Substituting these values back into the formula:
C(8,3) = 40,320 / (6 x 120) = 40,320 / 720 = 56
Therefore, C8,3 is equal to 56.