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The number of one-one functions from A t...

The number of one-one functions from A to B where A={1,2,3 ,4} and B={1, 2 ,3 ,4, 5, 6} such that `f(i)!=i` is

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Write total number of one-one functions from set A={1,\ 2,\ 3,\ 4} to set B={a ,\ b ,\ c} .

If u_r denotes the number of one-one functions from (x_1,x_2,…………..x_r) to (y_1,y_2,………,y_r) such that f(x_i)!=y_i, for i= 1,2,3,………r then t_4= (A) 9 (B) 44 (C) 265 (D) none of these

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Given a function f:AtoB, where A={1,2,3,4,5} and B={6,7,8} Find number of all such functions y=f(x) which are one-one?

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If A={1,2,3} and B={2,3,4} , find which of the following are the functions from A to B? (i) f={(1,2),(2,3),(3,4)} (ii) g={(1,2),(1,3),(2,3),(3,4)} (iii) h={(1,3),(2,4)}

Let A = {1, 2, 3}, B = {a, b, c}, C {a_(1), b_(1), c_(1), d_(1), e_(1)} and consider the following statements. S_(1) : The number of one-one functions from A to C is 60. S_(2) : The number of onto functions from C to A is 150 S_(3) : The number of onto functions from B to C is 0 S_(4) : The number of objective functions from A to B is 6 Which of the following combination is true ?

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Let A={1,2,3,4,5} and B={-2,-1,0,1,2,3,4,5}. Onto functions from A to A such that f(i) ne i for all i , is