(AUB) U(Aºn B) =1) A 2) BⓇ 3) $ 4) U

If A={1,2,3,4} and B={3,4,5,6,7} find (i) AUB (ii) A nn B (iii) A-B (iv) B-A

Let A and B be two non-empty subsets of set X. If (A-B)U(B-A)=AUB then which of the following is incorrect? a) A sub B b) A sub(X-B) c) A=B( d) B sub A

Two electrons in two hydrogen - like atoms A and B have their total energies E_(A) and E_(B) in the ratio E_(A):E_(B)= 1 : 2 . Their potential energies U_(A) and U_(B) are in the ratio U_(A): U_(B)= 1 : 2 . If lambda_(A) and lambda_(B) are their de-Broglie wavelengths, then lambda_(A) : lambda_(B) is

Two electrons in two hydrogen - like atoms A and B have their total energies E_(A) and E_(B) in the ratio E_(A):E_(B)= 1 : 2 . Their potential energies U_(A) and U_(B) are in the ratio U_(A): U_(B)= 1 : 2 . If lambda_(A) and lambda_(B) are their de-Broglie wavelengths, then lambda_(A) : lambda_(B) is

The function u_(n) takes on the following values : u_(1) = ( 1)/( 4) , u_(2) = ( 1)/( 4) + ( 1)/( 10)"…....." u_(n) =(1)/( 3+1) + ( 1)/( 3^(2) + 1)+"…........." (1)/( 3^(n) + 1)"…........." Prove that underset( n rarr oo) ( "lim") u_(a) lt (1)/(2)

Which one of the following operations on sets is not correa where B' denotes the complement of B? a)(B'-A')U(A'-B')=(AUB)-(AnnB) b)(A-B)U(B-A)=(A'UB')-(A'nnB') c)(B'-A')n(A'-B')=(B-A)nn(A-B) d)(B'-A')n(A'-B')=(B-A')U(A'-B)

If P(A)= (1)/(4), P(B)= (1)/(3) and P(A U B)= (1)/(2) , prove that A and B are independent events

Statement-1 If U is universal set and B = U - A, then n(B) = n(U) - n(A). Statement-2 For any three arbitrary sets A, B and C, if C = A - B, then n(C ) = n(A) - n(B).