Question 1151730
Out of six pdp and five acp party members, four are to be selected. In how many ways can this be done so as to include: 
1.exacly one pdp member.<pre>Choose the one pdp member and then choose the three acp members.

6 pdp members CHOOSE 1 = 6C1 = 6

TIMES

5 acp members CHOOSE 3 = 5C3 = 10

EQUALS

60 ways.</pre>2. at least one acp member<pre>Begin by choosing ANY 4 from the 11. Then subtract the ones that contain all
pdp members:

11 people CHOOSE 4 = 11C4 = 330

MINUS

6 pcp members CHOOSE all 4 = 6C4 = 15

EQUALS

315 ways.

Edwin</pre>