Let and . How many bijective functions satisfy the condition…

MATHEMATICS · Subjective · CBSE · Mathematics · Permutations and Combinations · Permutations and Combinations

Problem

Let A={a1,a2,a3,a4}A=\{a_1,a_2,a_3,a_4\} and B={b1,b2,b3,b4}B=\{b_1,b_2,b_3,b_4\}. How many bijective functions f: ⁣:A→Bf:\colon A\to B satisfy the condition f(a1)≠b1f(a_1)\neq b_1?

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