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The number of bijection mappings that are possible from $Set \:A$ containing 5 elements to $Set\:B$ containing 6 elements is ?

(A) 720

(B) 120

(C) 30

(D) 0

1 Answer

Toolbox:
  • Bijection mapping means $1-1$ and $onto$
For onto function set B should be Range
For 1-1 function distinct elements in A should be related with distinct elements in B
There are 5 elements in A .
These 5 elements can be related with 5 distinct elements in set B
But there are 6 elements in B. Therefore one element will be left unrelated.
Hence we cannot have onto function from A to B
The answer is $0$.

 

answered May 31, 2013 by rvidyagovindarajan_1
 

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