**(vii) There are 3 men and 2 women. A ‘Gramswachaatta Abhiyan’ committee of two is to be formed**

**P is the event that the committee should contain at least one woman.**

**Q is the event that the committee should contain one man and one woman.**

**R is the event that there is not woman in the committee.**

**Sol.**Let three men be denoted M

**1**, M

**2**and M

**3**and two women be denoted as W

**1**and W

**2**a committee of two is formed in the following ways.

**1**M

**2**, M

**1**M

**3**, M

**1**W

**1**, M

**1**W

**2**, M

**2**M

**3**, M

**2**W

**1**, M

**2**W

**2**, M

**3**W

**1**, M

**3**W

**2**, W

**1**W

**2**}

**1**W

**1**, M

**1**W

**2**, M

**2**W

**1**, M

**1**W

**2**, M

**3**W

**1**, M

**3**W

**2**, W

**1**W

**2**}

**1**W

**1**, M

**1**W

**2**, M

**2**W

**1**, M

**2**W

**2**, M

**3**W

**1**, M

**2**W

**2**}

**1**M

**2**, M

**1**M

**3**, M

**2**M

**3**}