Let A={x1,x2,x3...,x8},B={y1,y2,y3} then the total number of functions from A to B such that all the elements of B has atleast one pre image and there are exactly four elements in A having image as y3, are
A
14×8C4
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B
24×8C4
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C
14×4C4
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D
16×4C4
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Solution
The correct option is A14×8C4 Four elements from set A can be selected in 8C4 ways. Now the remaining 4 elements of A can be connected with two elements of B in 24−2C1(1)4=14 ways. So,required number of functions =14×8C4