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The number of one-one functions f : a , b , c , d → 0 , 1 , 2 , … , 10 such that 2 f a - f b + 3 f c + f d = 0 is _____

Correct answer

0

Step-by-step solution

Given 2 f a + 3   f c = f b - f d Using fundamental principle of counting, when f c = 0 ,   f a = 1   then     f b - f d = 2 has 7 choices, Similarly when f c = 0 ,   f a = 2   then   f b - f d has 5 choices. Counting like this we get the total number of one-one function as 31

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