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Our Underwater Basket-Weaving club has 12 members. In how many ways can 5 club members be chosen to attend a basket-weaving conference if Adi must attend the conference and Noor isn't willing to attend the conference?


If adi has to attend the conference there are 11 choose 4 ways to pick out the 4 other members
if noor isn't willing there are 10 choose 4 ways to pick out the other 4 members. 


After figuring out that information i don't know how to continue

 Aug 21, 2022
 #1
avatar+124596 
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If Noor isn't willing to  attend.....then we only have 11 members to choose from

 

And since Adi must attend.....then  we only need to count the sets formed by  choosing any 4 of the remaining 10  (Adi is automatically included in  each set)

 

So

 

C (10,4)  =   210  ways

 

 

cool cool cool

 Aug 21, 2022

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