Permutations & Combinations?

Permutations & Combinations?




An engineer at a manufacturing facility randomly pulls a box of 50 batteries off the assembly line. This specific box has 6 defective batteries. The engineer is going to randomly select 8 batteries to test. Do/answer the following.



a) How many different ways can there be at most 4 defective batteries?

b) What is the probability that at least 1 battery is defective?

c) What is the probability that exactly 3 defective batteries will be selected?



Please show the work, this is not a homework problem but personal practice. I do not understand how to do complex problems like this.





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