Question

During the computer daze special promotion, a customer purchasing a computer and printer is given a choice of six free software packages. there are 8 different software packages from which to select. how many different groups of software packages can be selected?

Answer 1

This is equal to the number of combinations of 6 from 8 : -  8C6
- this is the same as 8C2  which is (8*7) / (2*1) =  28

So 28  different groups can be selected.

Answer 2

Answer: There are 28 different groups of software packages that can be selected.

Explanation:

Since we have given that

Number of free software packages is given as a choice =6

Total number of different software packages = 8

We need to find the "Number of different groups of software packages can be selected".

For this we will use "Combination" which says that

$^nC_r=\frac{n!}{(n-r)!r!}$

Here, n=8

and r=6

$^8C_6=\frac{8!}{(8-6)!\times 6!}\\\\^8C_6=\frac{8!}{6!\times 2!}\\\\^8C_6=\frac{8\times 7}{2\times 1}\\\\^8C_6=4\times 7\\\\^8C_6=28$

Hence, there are 28 different groups of software packages that can be selected.