Mark the correct alternative in the following question:

Question:

Mark the correct alternative in the following question:

If the set A contains 5 elements and the set B contains 6 elements, then the number of one-one and onto mappings from A to B is

(a) 720                                                

(b) 120                                               

(c) 0                                                 

(d) none of these

Solution:

As, the number of bijection from $A$ into $B$ can only be possible when provided $n(A) \geq n(B)$

But here $n(A)

So, the number of bijection i.e. one $-$ one and onto mappings from $A$ to $B=0$

Hence, the correct alternative is option (c).

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