# How many ways can a committee of 4 people be selected from a group of 7 people?

A committee of $4$ people be selected from a group of $7$ people in $35$ ways.
As the order of people does not matter, it is $\setminus {C}_{4}^{7}$
i.e. $\frac{7 \times 6 \times 5 \times 4}{1 \times 2 \times 3 \times 4} = \frac{7 \times \cancel{6} \times 5 \times \cancel{4}}{1 \times \cancel{2} \times \cancel{3} \times \cancel{4}} = 35$
Hence, a committee of $4$ people be selected from a group of $7$ people in $35$ ways.