if A= { 3,4,5,6,7 } and B= { 6,7,8 } then find the value of n(A)+n(B)
Answers
Answer:
It's right
Step-by-step explanation:
11th
Maths
Sets
Operations on Sets
If A = {1, 2, 3, 4, 5}, B =...
MATHS
If A={1,2,3,4,5},B={2,4,6,8} and C= {3,4,5,6},
then verify : A−(B∪C)=(A−B)∩(A−C).
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ANSWER
Given, A={1,2,3,4,5},B={2,4,6,8} and C={3,4,5,6}
For the LHS:
Union of two sets will have the elements of both sets.
So, B∪C={2,3,4,5,6,8}
A−(B∪C) will have elements of A which are not in (B∪C)
So, A−(B∪C)={1} ..... (1)
For the RHS:
A−B will have elements of A which are not in B.
So, A−B={1,3,5}
A−C will have elements of A which are not in C.
So, A−C={1,2}
Intersection of two sets has the common elements of both the sets.
⇒(A−B)∩(A−C)={1} ..... (2)
From (1) and (2), we have
A−(B∪C)=(A−B)∩(A−C)
Hence, the given expression is true
Answer:
40
Step-by-step explanation:
No.of elements in set A = 5
Hence n(A) = 2⁵
n(A) = 32 ........(i)
No. of elements in set B = 3
Hence n(B) = 2³
n(B) = 8 ..........(ii)
(i) + (ii),
32 + 8 = 40 ANS