যদি U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, P = {1, 2, 5} এবং Q = {6, 7} হয় তবে P ∩ Q‘ এর মান কত?
A
P
B
Q
C
Q‘
D
P‘
উত্তরের বিবরণ
প্রশ্ন: যদি U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, P = {1, 2, 5} এবং Q = {6, 7} হয় তবে P ∩ Q‘ এর মান কত?
সমাধান:
দেওয়া আছে,
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
P = {1, 2, 5} এবং Q = {6, 7}
এখন,
Q‘ = U - Q
= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} - {6, 7}
= {1, 2, 3, 4, 5, 8, 9, 10}
∴ P ∩ Q‘ = {1, 2, 5} ∩ {1, 2, 3, 4, 5, 8, 9, 10}
= {1, 2, 5}
= P
P ∩ Q‘ = P
0
Updated: 3 months ago
D = ∅ হলে, এর প্রকৃত উপসেট কয়টি?
Created: 1 month ago
A
3
B
2
C
0
D
কোনটিই নয়
সমাধান:
D-এর উপাদান সংখ্যা = 0
মোট উপসেট = 2n
= 20
= 1 (একটি উপসেট ∅ নিজেই)
∴ প্রকৃত উপসেট = 20 - 1 = 1 - 1 = 0
0
Updated: 1 month ago
If A = {1, 2, 3} and B = Ø, what is the value of (A U B)?
Created: 1 month ago
A
{1, 2, 3}
B
{1, 2, 3, Ø}
C
{2, 3, Ø}
D
Ø
Question: If A = {1, 2, 3} and B = Ø, what is the value of (A U B)?
Solution:
দেওয়া আছে,
A = {1, 2, 3}
এবং B = Ø
যেকোনো সেট A এবং ফাঁকা সেট (Ø) এর সংযোগ (union) হলো A
∴ (A ∪ B) = {1, 2, 3} ∪ Ø
= A
= {1, 2, 3}
0
Updated: 1 month ago
n(A\B) + n(A ∩ B) = ?
Created: 3 weeks ago
A
n(A)
B
n(B)
C
n(A\B)
D
n(A ∪ B)
Question: n(A\B) + n(A ∩ B) = ?
Solution:
We know that,
A\B = {x : x ∈ A and x ∉ B}
Example: A = {a, b, c} and B = {c, d},
then A ∩ B = {a, b, c} ∩ {c, d} = {c}
and A\B = {a, b, c} \ {c, d} = {a, b}
We can say that,
n(A\B) = n(A) - n(A ∩ B)
Now,
n(A\B) + n(A ∩ B) = n(A) - n(A ∩ B) + n(A ∩ B) = n(A)
0
Updated: 3 weeks ago
