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Two teachers are interviewing top 6 students in CAT exam, in two different subjects starting at the same time. Each teacher interviews for

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Two teachers are interviewing top 6 students in CAT exam, in two different subjects starting at the same time. Each teacher interviews for 15 minutes. The number of ways in which interview can be scheduled is

(A)  6! 

(B)  5! 

(C)  44 x 6! 

(D)  265 x 6!

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Correct option (D) 265 x 6!

Number of ways = (Number of one-one function from set A = {s1 , s2 … s6} to A such that f (si) ≠ Si x 6! = D6 x 6!

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