An employer interviews 10 people for 6 management positions in a company, and 5 of the 10 people are men. if all 10 are qualified, in how many ways can the employer fill the management positions if exactly 3 are men?

i think there was a typo. you wrote pat brings 3 quarts of ice-cream to the party. each serving of ice-cream is 1 6 quart. how many total servings of ice-cream does pat bring to the party? i think the bold is supposed to be 1/6. so 1 quart of ice cream = 6 servings. 6 * 3 = 18.