Mathematics - Permutation & Combination Question with Solution | TestHub

MathematicsPermutation & CombinationArrangement under ConstraintMedium2 minQB

MathematicsMediuminteger

The number of onto functions which are non decreasing from $A = {1, 2, 3, 4, 5}$ to $B = {7, 8, 9}$ is $____$ .

Answer:

Solution:

Images of $1, 2, 3, 4, 5$ are respectively.

$7, 7, 7, 8, 9; 7, 7, 8, 8, 9; 7, 7, 8, 9, 97, 8, 8, 8, 9; 7, 8, 8, 9, 9; 7, 8, 9, 9, 9$

∴ there are six functions.

Stream:JEESubject:MathematicsTopic:Permutation & CombinationSubtopic:Arrangement under Constraint

⏱ 2mℹ️ Source: QB

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