show that n{P{P{P{empty set}}}}=4 please ans quickly

Asked by krunalbadlani | 27th May, 2014, 12:51: PM

Expert Answer:

w e space k n o w space t h a t space P left curly bracket s e t right curly bracket space equals space 2 to the power of n space w h e r e space s e t space h a s space n space e l e m e n t s S o space i f space s e t space i s space e m p t y space s e t comma space n equals 0  P space left curly bracket e m p t y space s e t right curly bracket space equals space 2 to the power of 0 equals 1 P space left curly bracket P space left curly bracket e m p t y space s e t right curly bracket space right curly bracket equals space 2 to the power of 1 equals 2 P space left curly bracket P space P space left curly bracket e m p t y space s e t right curly bracket space right curly bracket right curly bracket space equals space 2 squared equals 4  H e n c e space n left parenthesis P space left curly bracket P space left curly bracket P space left curly bracket e m p t y space s e t right curly bracket space right curly bracket right curly bracket right parenthesis space equals space 4

Answered by Dharma Teja | 28th May, 2014, 01:19: PM