Let X= n ϵ N: 1 le n le 50 . If A = n ϵ X: n is a multiple of 2 and B = n ϵ X: n is a multiple of 7, then the number of elements in the smallest subset of X containing both A and B is. Given 7

Question

Let X= n ϵ N: 1 le n le 50 . If A = n ϵ X: n is a multiple of 2 and B = n ϵ X: n is a multiple of 7, then the number of elements in the smallest subset of X containing both A and B is. Given 7 (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

n(A) =25 n(B) = 7 n(A∩ B)=3 n(A∪ B)=25+7-3=29

Q. Let $X = {n ϵ N : 1 \leq n \leq 50}$ . If
$A =$ { $n ϵ X$ : n is a multiple of 2} and
$B =$ { $n ϵ X$ : n is a multiple of 7}, then the number of elements in the smallest subset of X containing both A and B is__________.
Given 7

$n (A) = 25 < b r / > n (B) = 7$
$n (A \cap B) = 3$
$n (A \cup B) = 25 + 7 - 3 = 29$

Q. Let X={nϵN:1≤n≤50}. If A= { nϵX : n is a multiple of 2} and B= { nϵX : n is a multiple of 7}, then the number of elements in the smallest subset of X containing both A and B is__________. Given 7

n(A)=25<br/>n(B)=7 n(A∩B)=3 n(A∪B)=25+7−3=29

Q. Let $X = {n ϵ N : 1 \leq n \leq 50}$ . If
$A =$ { $n ϵ X$ : n is a multiple of 2} and
$B =$ { $n ϵ X$ : n is a multiple of 7}, then the number of elements in the smallest subset of X containing both A and B is__________.
Given 7

$n (A) = 25 < b r / > n (B) = 7$
$n (A \cap B) = 3$
$n (A \cup B) = 25 + 7 - 3 = 29$