Answer :
56 different sub-committees are possible
Step-by-step explanation:
When the selection has to be made without order, combinations are used.
The formula for combination is:
[tex]C(n,r) = \frac{n!}{r!(n-r)!}[/tex]
Here,
Total members = n = 8
Members to be selected = r = 5
So,
[tex]C(8,5) = \frac{8!}{5!(8-5)!}\\= \frac{8!}{5!}\\=56\ ways[/tex]
Hence,
56 different sub-committees are possible
Keywords: Combinations, Selection
Learn more about combinations at:
- brainly.com/question/4639731
- brainly.com/question/4655616
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