Home
Class 12
MATHS
Suppose a1,A2,.....,A30 are thirty sets ...

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 3 elements. Let `uuu_(i = 1)^30 A_i = uuu_(i=1)^n = S`. Assume that each element of S belongs to exactly 10 elements of `A_i` and exactly 9 of `B_j`. Find n

Text Solution

Verified by Experts

The correct Answer is:
`45`
Promotional Banner

Topper's Solved these Questions

  • SET, RELATION & FUNCTION

    FIITJEE|Exercise Assigment problem ( OBJECTIVE )level I|20 Videos

  • SET, RELATION & FUNCTION

    FIITJEE|Exercise Assigment problem ( OBJECTIVE )level II|12 Videos

  • SET, RELATION & FUNCTION

    FIITJEE|Exercise Assigment problem (SUBJECTIVE) level I|10 Videos

  • QUADRATIC EQUATION & EXPRESSION

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

  • STATISTICS

    FIITJEE|Exercise Comprehension Type|6 Videos

Similar Questions

Explore conceptually related problems

Suppose x_1,x_2,….x_(50) are 50 sets each having 10 elements and Y_1,Y_2,….Y_n are n sets each having 5 elements. Let uu_(i=1)^50 X_i=uu_(i=1)^n Y_i=Z and each element of Z belong to exactly 25 of X_i and exactly 6 of Y_i then value of n is

Suppose A_1,A_2….. A_(30) are thirty sets each having 5 elements and B_1B_2…..B_n are n sets each having 3 elements ,Let overset(30)underset(i=1)bigcupA_1=overset(n)underset(j=1)bigcupB_j=s and each element of S belongs to exactly 10 of the A_1 and exactly 9 of the value of n.

Suppose A_(1) ,A_(2) ,. . . .,A_(30) are thirty sets each with fvie elements and B_(1),B_(2), .. . .,B_(n) are n sets elements such that bigcup_(i=1)^(30)A_(i)= bigcup _(i=1)^(n)B_(i) and exactly 9 of the B_(j) 's then the value of n , is

Let A_1 , A_2 , ....., A_m be m sets such that O(A_i) = p for i = 1,2,....,m and B_1 , B_2,....,B_n sets such that O(B_j) = q for j = 1,2,....,n. If uuu_(j=1)^m A_i = uuu_(j=1)^n B_j = S and each element of S belongs to exactly alpha number of A_j's and beta number of B_j's, then

U_(1),U_(2),....U_(15) are sets each containing 2 elements and each element belong to 3 sets.V_(1),V_(2),...V_(10) are 10 sets all having same cardinal number 'n' and each element belong to 4 sets.