First class

The shipment contains 40 items. 36 are first grade, 4 are defective. How many ways can select 5 items, so that it is no more than one defective?

Correct result:

n =  612612

Solution:

C5(36)=(365)=36!5!(365)!=363534333254321=376992  n1=(365)=376992 C4(36)=(364)=36!4!(364)!=363534334321=58905  n2=4 (364)=4 58905=235620 n=n1+n2=376992+235620=612612



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