How Many Permutations for Pressing 4 Out of 8 Switches?

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SUMMARY

The discussion centers on calculating the number of permutations for pressing 4 out of 8 switches labeled b1 through b8. The correct formula for this calculation is 8!/(4!4!), which results in 70 unique combinations. The initial estimate of 40 combinations was incorrect, highlighting the importance of using factorial mathematics in combinatorial problems. Participants confirmed the correct approach and provided encouragement for further exploration of the topic.

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novolts
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Good evening to all
I wonder if anyone can help please I have 8 switches b1,b2,b3,b4,b5,b6,b7,b8 I am trying to work out how many permutations I would have if I pressed any 4 of the 8 switches ie if I pressed b1,b3,b,7,b8 to make a circuit or it could be b3,b5,b6,b7 doing it by long hand I reckon it is 40 combination.
I fully understand if no one wishes to answer the question but I am completely useless at maths
Thank you to all
 
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8!/(4!4!)=70
 
Thankyou Robert will have to get paper and pencil out again
 

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