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Find the number of ways in which n dist...

Find the number of ways in which `n` distinct objects can be kept into two identical boxes that no box remains empty.

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Statement 1: let E={1,2,3,4}andF={a,b}. Then the number of onto functions from E rarr Fis14 . Statement 2: Number of ways in which four distinct objects can be distributed into two different boxes is 14 if no box remains empty.