Question

How many ways can a president, vice-president, secretary, and treasurer be chosen from a club with 8 members?

Answer 1

`_8C_4=(8!)/(4!4!)=(5\cdot6\cdot7\cdot8)/(2\cdot3\cdot4)=70`

Answer 2

Answer with explanation:

There are four members ,president, vice-president, secretary, and treasurer, which need to be chosen from 8 members.

As order of chosing the members from 8 members is not important.

So, Possible number of ways

`=_(4)^(8)\textrm{C}\\\\=(8!)/((8-4)!4!)\\\\=(8*7*6*5*4!)/(4!*4!)\\\\=(8*7*6*5)/(4*3*2*1)\\\\=7*2*5\\\\=70 \text{Ways}`