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 Committee Choice Concern (Posted on 2010-05-17)
A committee of 5 is to be chosen from a group of 9 people.

Determine the total number of ways this can be accomplished, given that:

(i) Harold and Warren must serve together or not at all, and:

(ii) Lucy and Deanna refuse to serve with each other.

 No Solution Yet Submitted by K Sengupta No Rating

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 just counting | Comment 1 of 3

SOLUTION:

CASE 1:   HWL, notD  We have 3 in and select another 2  out of 5  i.e. 10

CASE 1' HWD, notL   ....   same thing

Case 2 L, notD &not HW   4 needed out of 5     i.e. 5

Case 2' D, notL &not HW  ..... same thing

2*10+2*5=30

Case 3: HW, not D or L: select another 3 out of 5, ie 10
Case 3': Not HW, not D or L: select 5 out of 5, equal 1

So, previous 30, + 10 + 1 = 41

Edited on May 17, 2010, 5:14 pm
 Posted by Ady TZIDON on 2010-05-17 14:13:17

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