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Question

The number of onto functions from the set {1,2,..........,11} to set {1,2,.....,10} is

A
5×|11
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B
|10
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C
|112
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D
10×|11
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Solution

The correct option is C 5×|11
Finding no. of such functions is same as putting 11 balls in 10 boxes with each box getting at least one ball. Then the only possible way is to put 2 balls in a box which can be done in 11C2 ways.

11C2×9C1×8C1...................1C1

=11×102×9×8×7.................................

11!×5

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