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If set A has 4 elements and B = {5, 6}, then the number of elements in A x B are
- a)9
- b)8
- c)7
- d)10
Correct answer is 'B'. Can you explain this answer?
Verified Answer
If set A has 4 elements and B = {5, 6}, then the number of elements in...
n(A) = 4
B = {5, 6}
n(B) = 2
n(A x B) = n(A)*n(B) = 4*2 = 8
B = {5, 6}
n(B) = 2
n(A x B) = n(A)*n(B) = 4*2 = 8
Most Upvoted Answer
If set A has 4 elements and B = {5, 6}, then the number of elements in...
By using formulae
=>n(A×B)
given
A=4 elements B=2 elements
so
n(4×2)=8
=>n(A×B)
given
A=4 elements B=2 elements
so
n(4×2)=8
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Community Answer
If set A has 4 elements and B = {5, 6}, then the number of elements in...
To understand why the correct answer is 'B', let's break down the problem step by step.
Given:
- Set A has 4 elements.
- Set B = {5, 6}.
Step 1: Understanding the Cartesian Product
The Cartesian Product of two sets A and B, denoted as A x B, is the set of all ordered pairs (a, b) where 'a' belongs to A and 'b' belongs to B.
Step 2: Finding the Cartesian Product
To find A x B, we need to pair each element of set A with every element of set B.
Set A = {a1, a2, a3, a4}
Set B = {5, 6}
A x B = {(a1, 5), (a1, 6), (a2, 5), (a2, 6), (a3, 5), (a3, 6), (a4, 5), (a4, 6)}
Step 3: Counting the Elements in A x B
To find the number of elements in A x B, we count the number of ordered pairs in the set.
From step 2, we can see that A x B has 8 ordered pairs:
- (a1, 5)
- (a1, 6)
- (a2, 5)
- (a2, 6)
- (a3, 5)
- (a3, 6)
- (a4, 5)
- (a4, 6)
Therefore, the number of elements in A x B is 8.
Step 4: Identifying the Correct Answer
Now, let's refer to the given options:
a) 9
b) 8 (Correct Answer)
c) 7
d) 10
Since we have found that A x B has 8 elements, the correct answer is 'B' - 8.
In conclusion, the number of elements in A x B is 8, which corresponds to option 'B'.
Given:
- Set A has 4 elements.
- Set B = {5, 6}.
Step 1: Understanding the Cartesian Product
The Cartesian Product of two sets A and B, denoted as A x B, is the set of all ordered pairs (a, b) where 'a' belongs to A and 'b' belongs to B.
Step 2: Finding the Cartesian Product
To find A x B, we need to pair each element of set A with every element of set B.
Set A = {a1, a2, a3, a4}
Set B = {5, 6}
A x B = {(a1, 5), (a1, 6), (a2, 5), (a2, 6), (a3, 5), (a3, 6), (a4, 5), (a4, 6)}
Step 3: Counting the Elements in A x B
To find the number of elements in A x B, we count the number of ordered pairs in the set.
From step 2, we can see that A x B has 8 ordered pairs:
- (a1, 5)
- (a1, 6)
- (a2, 5)
- (a2, 6)
- (a3, 5)
- (a3, 6)
- (a4, 5)
- (a4, 6)
Therefore, the number of elements in A x B is 8.
Step 4: Identifying the Correct Answer
Now, let's refer to the given options:
a) 9
b) 8 (Correct Answer)
c) 7
d) 10
Since we have found that A x B has 8 elements, the correct answer is 'B' - 8.
In conclusion, the number of elements in A x B is 8, which corresponds to option 'B'.
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If set A has 4 elements and B = {5, 6}, then the number of elements in A x B area)9b)8c)7d)10Correct answer is 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If set A has 4 elements and B = {5, 6}, then the number of elements in A x B area)9b)8c)7d)10Correct answer is 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If set A has 4 elements and B = {5, 6}, then the number of elements in A x B area)9b)8c)7d)10Correct answer is 'B'. Can you explain this answer?.
If set A has 4 elements and B = {5, 6}, then the number of elements in A x B area)9b)8c)7d)10Correct answer is 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If set A has 4 elements and B = {5, 6}, then the number of elements in A x B area)9b)8c)7d)10Correct answer is 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If set A has 4 elements and B = {5, 6}, then the number of elements in A x B area)9b)8c)7d)10Correct answer is 'B'. Can you explain this answer?.
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