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Let A={x1,x2........x7} and B={y1,y2,y3} be 2 sets containing 7 and 3 elements respectively . Then the total no.of.functions f:A-B That are onto , if there exist exactly 3elements in A such that f(x) = y2 is equal to

Let A={x1,x2........x7} and B={y1,y2,y3} be 2 sets containing 7 and 3 elements respectively . Then the total no.of.functions f:A-B That are onto , if there exist exactly 3elements in A such that f(x) = y2 is equal to

Grade:12

1 Answers

Arun
25750 Points
6 years ago
Number of onto function such that exactly three elements in x E A such that f(x) = 2
1
 is equal to
= 7C3 *{24 – 2}
= 14 * 7C3

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