Relation Functions

10 Not able to think
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@Apu
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SirLancelotDuLac
The total number of functions from f to g are 3!. The number of functions where f is not equal to g for any x belonging to 1,2,3 is D_3. So, the required value is 3!-D3=6-2=4.
flower
flowerOP5mo ago
9 hai answer
SirLancelotDuLac
Oh sorry mb. The number of functions from {1,2,3} to itself is 3^3=27. Now, consider x=1, for f(1) is not equal to 1 we have two choices for g(1). Similarly for f(2) and f(3). So the total undesirable cases are 2^3=8 Hence the desirable cases by bijection are 27-8=19
flower
flowerOP5mo ago
ahhh makes sense thanks +solved @SirLancelotDuLac
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