n = 11, r = 6
Good question. You usually do it the opposite way: given n and r, find nPr.
The formula is nPr = n!/(n-r)!. For example, if n is 6 and r is 2, then 6P2 = 6!/(6-2)! = 6!/4! =6x5x4x3x2x1/4X3x2x1.
Notice that (4x3x2x1) cancels, so that 6P2 = 6x5. Also, 5 = (6 - 2) +1.
So 332640 = n!/(n-r+1). We still can't find n and r without a second equation, so we have to resort to trial and error. If we factor 332,640, that may give us a hint:
332,640 = 2x166,320 = 2x(2x83,160) = 2^2x(2x41,580) = 2^3x(2x20,790) = 2^4x(2x10395) = 2^5x(5x2079) = 2^5x5x(3x693) = 2^5x3x5x(3x231) = 2^5x3^2x5x(3x77) = 2^5x3^3x5x(7x11).
This tells us that 11 is definitely in there. 7, or more likely 14 is in there. 5 tells us that either 10 or 15 is in there. 12^5 is 248832 so we guess 11x12x13x14x15 = 360,360 but ... whoops! there is no 13 in the factors, so that can't be right.
Maybe 12 is the highest number that can be in the answer: 12x11x10x9x8x7=665280. Nope.
How about 11x10x9x8x7x6 = 33,2640. Yes!!!
n=11, 11-r+1=6 -> 12 - 6 = r -> r=6.
Check: 11P6 = 11!/(11-6)! = 11!/5! = 11x10x9x8x7x6x5.../5x4... = 11x10x9x8x7x6 = 110x72x42 = 7,920x42 = 332,640.
nPr is n!/(n-r)!. The ! is factorial; for example 5! = 5*4*3*2*1.
n= total number and r= total number chosen
Yes. For example, if you want to calculate combination(9,3), press 9 and then press MATH. Use the arrow keys to scroll over to PRB at the top and select nPr. Then press 3. You should see: 9 nPr 3 Press ENTER.
123456789 can be written in 362,880 different ways, you can calculate this by using the permutation function nPr.
I am not stupid enough to try and list them since there are 55*54*53*52*51*50/(6*5*4*3*2*1) = 28,989,675 combinations. nPr=permutation while nCr=combination. The question is how many combination of 6 are there in 55 numbers. So the answer should be based on the formula: nPr = n!/(n-r)! where ! is factorial and nCr = nPr/r! = n!/{(n-r)*r!} ; So using the formula should look likr this 55C6 = 55!/{(55-6)!*6!} = 55!/(49!*6!) = 28,989,675
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Press MATH and select PRB at the top. The second option, nPr, is permutation. Example: To find P(8,3) type: 8 nPr 3
nPr is n!/(n-r)!. The ! is factorial; for example 5! = 5*4*3*2*1.
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nPr in math stands for permutation :)
NPR, after a doctor's name, is usually used by pharmacies to denote that the doctor does not do the following:NOPHONEREFILLSI hope you find this helpful. There is NO CHARGE. :) Hee, hee!Dr. R. Bary MD
NPR was created on 1970-02-26.
Isuzu NPR is bigger then Isuzu NKR, they are more expensive.
Go to NPR Car Talk this weekend and find out.
NPR, after a doctor's name, is usually used by pharmacies to denote that the doctor does not do the following:NOPHONEREFILLSI hope you find this helpful. There is NO CHARGE. :) Hee, hee!Dr. R. Bary MD
NPR, after a doctor's name, is usually used by pharmacies to denote that the doctor does not do the following:NOPHONEREFILLSI hope you find this helpful. There is NO CHARGE. :) Hee, hee!Dr. R. Bary MD