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Solution


Q.

The number of functions f : {1, 2, 3, 4} → {a, b, c}, which are not onto, is:           [2026]
1 48  
2 45  
3 51  
4 35  

Ans.

(2)

We have,

Total functions = 34 = 81

Number of onto functions = 4!2!2!×3! = 36

∴  Number of not onto functions = 81 – 36 = 45