Question
The total number of function ‘ƒ’ from the set {1, 2, 3} into the set {1, 2, 3, 4, 5} such that ƒ(i) 
ƒ(j), 
i < j, is equal to-
- 35
- 30
- 50
- 60
The correct answer is: 35
Let ‘l’ is associated with ‘r’ ,
r 
{1, 2, 3, 4, 5} then ‘2’ can be associated with r, r + 1, ….., 5.
Let ‘2’ is associated with ‘j’ then 3 can be associated with j, j + 1, …., 5. Thus required number of functions
= 
= 
= 
= 
= 35
Hence (a) is correct answer.
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