Three research departments have 10 ,6 , and 8 members, respectively. each department is to select a delegate and an alternate to represent the department at a conference. in how many ways can this be done?

Q1 which of the following is a factor of a)37 b)53 c)62 d)82 q2) if the sum of 2016 different whole numbers is odd. at most how many of the numbers can be even a)0 b)1 c)2014 d)2015

The manufacturer of a new product developed the following expression to predict the monthly profit, in thousands of dollars, from sales of the productwhen it is sold at a unit price of x dollars.-0.5x^2 + 22x - 224what is represented by the zero(s) of the expression? a. the profit when the unit price is equal to 0b. the unit price(s) when the profit is equal to 0c. the profit when the unit price is greatestd. the unit price(s) when profit is greatest

The fence around a quadrilateral-shaped pasture is 3a^2+15a+9 long. three sides of the fence have the following lengths: 5a, 10a-2, a^2-7. what is the length of the fourth side of the fence?