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1. |
A function is defined by mapping f : A B such that A contains m elements and B contains n elements and 1 n m then number of onto functions are ________ |
A. | <sub>r=1</sub> <sup>r=n</sup> <sup>n</sup>C<sub>r</sub> (-1)<sup>n-r</sup> r<sup>m</sup> |
B. | <sub>r=1</sub> <sup>r=n</sup> <sup>n</sup>C<sub>r</sub> (-1)<sup>n-r</sup> r<sup>n</sup> |
C. | <sub>r=1</sub> <sup>r=n</sup> <sup>n</sup>C<sub>r</sub> (-1)<sup>m-r</sup> r<sup>n</sup> |
D. | None of the mentioned |
Answer» B. <sub>r=1</sub> <sup>r=n</sup> <sup>n</sup>C<sub>r</sub> (-1)<sup>n-r</sup> r<sup>n</sup> | |