If `A_1 sub A_2 sub A_3 sub ...... sub A_50` and `n(A_x) = x -1`, then find `n[nnn_(x=11)^50 A_x]`

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 =

For all p, such that 1<=p<=100 if n(A_(p))=p+2 and A_(1)sub A_(2)sub A_(3)sub......sub A_(100) and nnn_(p=1)^(100)A_(p)=A then n(A)=

If B sub A , B sub C and x in A then x inC

{ n (n+1) (2n+1) : n in Z} sub

Let (a_1,a_2,a_3....a_4) be a permutation of (1,2,3....n) for which a_1 > a_2 .a_3 >.........> a_ (a/2) and a_(n/2=1) a_2 >a_3..........>a_((x-2)/2 and a_((n-1)/2 <.... < a_2for n as positive integers. Let the total number of permutation of n be p(n). if 200 < p(n) < 5000. then values of n is /are

If A = {1,2,3,4},B={2,3,4} and C={1,3} , then find the set X such that : (i) X subB and X sub C (ii) X sub B and X cancel(sub)C (iii) X subA, X subB and X sub C .

If A = {1,2,3,4},B={2,3,4} and C={1,3} , then find the set X such that : (i) X subB and X sub C (ii) X sub B and X cancel(sub)C (iii) X subA, X subB and X sub C .

X={1,2,3,....2017} and A sub X;B sub X;A uu B sub X here P sub Q denotes that P is subset of Q(P!=Q) Then number of ways of selecting unordered pair of sets A and B such that A uu B sub X.