From a committee of 8 persons,in how many ways can we choose a chairman and a vice chairman assuming one person can not hold more than one position ?

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Solution

Out of 8 persons chairman can be chosen in 8 ways
After selecting a chairman,we have to choose a vice-chairman out of 7 persons
This can be done in 7 ways
Out of 8 persons,a chairman and a vice chairman can be choosen in 8×7=56ways

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