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let x={a 1 ,a 2 ,...,a 6 } and y={b 1 ,b 2 ,b 3 }.The number of functions f from x to y such that it is onto and there are exactly three elements in x such that f(x)=b 1 ,is

let x={a1,a2,...,a6} and y={b1,b2,b3}.The number of functions f from x to y such that it is onto and there are exactly three elements in x such that f(x)=b1,is


 

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1 Answers

Arun Kumar IIT Delhi
askIITians Faculty 256 Points
9 years ago
Hello Student,

exactly 3 element with b1 means

6C3

now b1 can’t be range but b2 b3 can be range of anyone
2^6

6C3 * 2^6

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