A pharmaceutical company interviews 12 people for eight openings in the research department of the company. 7 of the 12 people are women. If all 12 are qualified, in how many ways can the employer fill the 8 positions if (a) the selection is random

(b) exactly three selections are men?

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Express in the simplest form: (x^2+9x+14/x^2-49) / (3x+6/x^2+x-56)

The final cost of a sale is determined by multiplying the price on the tag by 75%. which best describes the function that represents the situation?

Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem