Lecture05Sept08

Lecture05Sept08 - S a m p le s P e rm u ta t io n s C o m b...

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Unformatted text preview: S a m p le s , P e rm u ta t io n s , C o m b in a t io n s a n d P r o b a b i l i t ie s S e p t . 8 P e rm u t a t io n s S u p p o s e th a t y o u h a v e n o b je c t s a n d w a n t to a r r a n g e r o f th e m in a l in e w h e r e o r d e r m a t te r s . H o w m a n y w a y s c a n th is b e d o n e ? I f r = n , th is is c a l le d a p e rm u ta t io n . n P r is th e n u m b e r o f w a y s o f a r r a n g in g r o b je c t s f r o m a s e t o f n . n P r = n ( n- 1 ) . . . ( n- r + 1 ) = n ! / ( n- r ) ! S a m p l in g , P e rm u ta t io n s a n d th e M u l t ip l ic a t io n R u le . S u p p o s e w e w a n t t o s e le c t r o b je c t s f r o m a s e t o f n : 1 ) I f w e r e p la c e e a c h o b je c t a f t e r s e le c t io n , s o t h a t w e a r e s e le c t in g f r o m a l l n o b je c t s e a c h t im e , w e s a m p le w i t h r e p la c e m e n t . T h e n u m b e r o f s a m p le s w i t h r e p la c e m e n t is : 2 ) I f w e s e le c t r o b je c t s a t r...
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This note was uploaded on 09/16/2008 for the course STAT 414 taught by Professor Senturk,damla during the Fall '07 term at Penn State.

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