Problem Solving

if 4 women and 6 men work in the accounting department in how many ways can a committee of 3 be formed if it has to include at least one woman?

36
60
72
80
100

i can find solution by reverse method (total combination - committee entirely men ) but can't get right answer by direct method (one woman 2 men, 2 woman 1 men etc.)

Here is my approach for this problem.
A bruteforce method:
The condition is "Atleast 1 woman"
There can be three different ways
1. W, M, M
2. W, W, M
3. W, W, W
Combinations for 1. W, M, M:
4C1 * 6C2 = 60

Combinations for 2. W, W, M:
4C2 * 6C1 = 36

Combinations for 3. W, W, W:
4C3 * 6C0 = 4

So adding all the combinations 60+36+4 = 100
Hopefully correct answer is 100

yeap,correct answer is 100.
my mistake was that i just added values,instead of multiply.