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Counting

Class 12 Mathematics के इस tag से जुड़े questions।

Class 12 · Mathematics

If U = {1, 2, ..., 45} and A = {x : x ∈ U, 9 divides x}, how many elements divisible by 3 are in A'?

Class 12 · Mathematics

If A and B are finite sets, n(A \ B) = 12, n(B) = 20, and n(A ∩ B) = 8, what is n(A ∪ B)?

Class 12 · Mathematics

How many rows are there in the matrix \(A=\begin{bmatrix}1&2\\3&4\\5&6\end{bmatrix}\)?

Class 12 · Mathematics

If \(n(A)=20\), \(n(B)=25\), and \(A\cap B=\varnothing\), how many elements belong to exactly one set?

Class 12 · Mathematics

If A = {p, q, r}, how many elements of P(A) must contain p?

Class 12 · Mathematics

If (A) has (n) elements, how many commutative binary operations can be defined on (A)?

Class 12 · Mathematics

If (A) has (n) elements, how many binary operations can be defined on (A)?

Class 12 · Mathematics

If (|A|=4) and (|B|=2), what is the number of onto functions from (A) to (B)?

Class 12 · Mathematics

If (|A|=5) and (|B|=3), how many onto functions are there from (A) to (B)?

Class 12 · Mathematics

If (|A|=3) and (|B|=5), what is the number of onto functions from (A) to (B)?

Class 12 · Mathematics

If (|A|=4) and (|B|=4), what is the number of onto functions from (A) to (B)?

Class 12 · Mathematics

For sets (A={1,2,3,4,5}) and (B={a,b,c}), what is the number of onto functions from (A) to (B)?

Class 12 · Mathematics

If (|A|=5) and (|B|=3), what is the number of onto functions from (A) to (B)?

Class 12 · Mathematics

If (A={1,2,3}), (B={p,q,r,s}), can there be an onto function from (A) to (B)?

Class 12 · Mathematics

If (A) has (6) elements and (B) has (3) elements, what is the number of onto functions from (A) to (B)?

Class 12 · Mathematics

If (A) has (5) elements and (B) has (3) elements, what is the number of onto functions from (A) to (B)?

Class 12 · Mathematics

If (A={1,2,3,4}), (B={a,b,c}), and (f:A\to B) is onto, which distribution is possible?

Class 12 · Mathematics

If (A) has (3) elements and (B) has (2) elements, how many onto functions are there from (A) to (B)?

Class 12 · Mathematics

If (A={1,2,3}), (B={a,b}), what is the number of onto functions from (A) to (B)?

Class 12 · Mathematics

If (A) has (2) elements and (B) has (5) elements, what is the number of onto functions from (A) to (B)?