Two Plus Two Newer Archives

Two Plus Two Newer Archives (http://archives1.twoplustwo.com/index.php)
-   Probability (http://archives1.twoplustwo.com/forumdisplay.php?f=27)
-   -   HELP!! (http://archives1.twoplustwo.com/showthread.php?t=538181)

prowannabie 11-04-2007 01:04 PM

HELP!!
 
Im not good with math, can someone explain to me how u get this answer:(ignore the dots on left, only way i could get it to indent


. 2
C =1081
. 47

BruceZ 11-04-2007 01:24 PM

Re: HELP!!
 
[ QUOTE ]
Im not good with math, can someone explain to me how u get this answer:(ignore the dots on left, only way i could get it to indent


. 2
C =1081
. 47

[/ QUOTE ]

C(47,2) or 47c2 = 47*46/(2*1) = 1081.

See more details here. Note that you use Google to evaluate this by typing in 47 choose 2.

prowannabie 11-04-2007 01:32 PM

Re: HELP!!
 
where did u get the 46 from?

BruceZ 11-04-2007 01:42 PM

Re: HELP!!
 
[ QUOTE ]
where did u get the 46 from?

[/ QUOTE ]

Since we are choosing 2, the numerator has 2 terms counting backwards from 47, so it is 47*46. This comes from the fact that C(47,2) = 47!/(47-2)!/2! = 47!/45!/2!, and since 47! = 47*46*45!, the 45! cancels out to give 47*46/2!.

Here are a couple more examples:

C(47,3) = 47*46*45/(3*2*1)

C(52,5) = 52*51*50*49*48/(5*4*3*2*1)


All times are GMT -4. The time now is 12:05 PM.

Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2024, vBulletin Solutions Inc.