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,....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 =

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

If A_1 , A_2 , A_3 are mutually exclusive and exhaustive, then P(A_1) + P(A_2) + P(A_3) equal______

A_1, A_2……….A_n are n independent events such that P(A_i) = 1 - q_i, I = 1, 2, 3…………….n Prove that P[overset(n)underset(i)uuu A_i] = 1 - q_1q_2……….q_n

Let A be the set of 4- digit numbers a_1a_2a_3a_4 where a_1gt a_2 gt a_3 gt a_4 then n(A) is equal to

If A_1,A_2, A_3 , are equally likely, exhaustive and mutually exclusive then P(A_1) equals

Let a_1 , a_2 , a_3,.... be terms of an A.P. if (a_1 + a_2 +....+ a_p)/(a_1 + a_2 +...+ a_q) = p^2/q^2. p ne q then a_6/a_21 equals

For three event A_1 , A_2 and A_3 state and prove Bonferroni's inequality.

Suppose A_1 , A_2 ..... A_30 are thirty sets each with five elements and B_1,B_2....B_n are n sets each with three elements such that cap_(i=1)^30 A_i = cap_(j=1)^n B_j = S . If each elements of S belongs to exactly ten of the A_i s and exactly nine of the B_j's then the value of n is

If a_1,a_2,a3,...,a_n are in A.P then show that 1/(a_1a_2)+1/(a_2a_3)+1/(a_3a_4)+...+1/(a_(n-1)a_n)=(n-1)/(a_1a_n)