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  4. The number of onto function from the set 1,2,3,4,5,6,7,8,9,10,11 to the set 1,2,3,4,5,6,7,8,9,10 is

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Q. The number of onto function from the set $\{1,2,3,4,5,6,7,8,9,10,11\}$ to the set $\{1,2,3,4,5,6,7,8,9,10\}$ is

Relations and Functions - Part 2

Solution:

${ }^{11} C _2 \times{ }^{10} C _1 \times 9 !=\frac{11 !}{2} \times 10=5 \times 11 !$