From a committee of 8 persons, a chairman and a vice chairman are to be chosen in such a way that one person cannot hold more than one position.Here, the number of ways of choosing a chairman and a vice chairman is the permutation of 8 different objects taken 2 at a time.Thus, required number of ways is8P2​=(8−2)!8!​=6!8!​=6!8×7×6!​=56.