exam Maths Puzzle Numerical Ability

A professor grades homeowrk by randomly checking 7 of the 20 problems assigned. in how many different ways can this be done?

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exam Other Question

maximize z= 14x + 22y subject to:
2x + 2y =>20
8x + 5y <= 40
please help me with this problem:
for the following inequality:x-y<-4
list three ordered pair solutions for the boundary of this inequality