n ( A ) = 4 , n ( B ) = 5 . If x is the number of maps A → B and y the number of injective maps, find x + y .

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MathematicsFunctionsTypes of Function (Mapping)Hard3 minQB

MathematicsHardsingle choice

$n (A) = 4, n (B) = 5$ . If $x$ is the number of maps $A \to B$ and $y$ the number of injective maps, find $x + y$ .

Answer:

Solution:

$x = 5^{4} = 625, y =^{5} P_{4} = 120$ , hence 745 .

Stream:JEESubject:MathematicsTopic:FunctionsSubtopic:Types of Function (Mapping)

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