If `A_1,A_2, A_3,..`are sets such that `n(A_i)=101-i`, `A_1 sup A_2 sup A_3 sup ...supA_100` and `A=nn_(i=5)^100 A_i` then n(A) is equal to

If A_(1),A_(2),A_(3),... are sets such that n(A_(i))=101-iA_(1)sup A_(2)sup A_(3)sup...sup A_(100) and A=nnn_(i=5)^(100)A_(i) then n(A) is equal to

if A_1,A_2,A_3,....A_100 are set of A_1 sup A_2 sup A_3 sup A_4.....sup A_100 n(A_i)=i+2 , nn_(i=3)^100A_i =

if A_1,A_2,A_3,....A_100 are set of A_1 sub A_2 sub A_3 sub A_4.....sub A_100 n(A_i)=i+2 , nn_(i=3)^100A_i =

a_1, a_2, a_3 …..a_9 are in GP where a_1 lt 0, a_1 + a_2 = 4, a_3 + a_4 = 16 , if sum_(i=1)^9 a_i = 4 lambda then lambda is equal to

If A_1, A_2, …, A_n are n independent events, such that P(A_i)=(1)/(i+1), i=1, 2,…, n , then the probability that none of A_1, A_2, …, A_n occur, is

If A_1, A_2, …, A_n are n independent events, such that P(A_i)=(1)/(i+1), i=1, 2,…, n , then the probability that none of A_1, A_2, …, A_n occur, is

If A_1, A_2, …, A_n are n independent events, such that P(A_i)=(1)/(i+1), i=1, 2,…, n , then the probability that none of A_1, A_2, …, A_n occur, is

If A_1, A_2, …, A_n are n independent events, such that P(A_i)=(1)/(i+1), i=1, 2,…, n , then the probability that none of A_1, A_2, …, A_n occur, is

If A_1, A_2, …, A_n are n independent events, such that P(A_i)=(1)/(i+1), i=1, 2,…, n , then the probability that none of A_1, A_2, …, A_n occur, is

Find the number of ways of arranging 15 students A_1,A_2,........A_15 in a row such that (i) A_2 , must be seated after A_1 and A_3 , must come after A_2 (ii) neither A_2 nor A_3 seated brfore A_1