Out of 5 men and 2 women, a committee of 3 is to be formed. In how many ways can it be formed if at least one woman is to be included?

Explanation

To solve the problem of forming a committee of 3 people from 5 men and 2 women, with the condition that at least one woman must be included, we can follow these steps:

### Step 1: Calculate the total number of ways to form a committee of 3 from 7 people.
We have a total of 7 people (5 men + 2 women). The number of ways to choose 3 people from 7 is given by the combination formula:

\[ \text{Total combinations} = \binom{7}{3} \]
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