Aclass committee is to be made that consists of 2 freshmen, 2 sophomores, 3 juniors, and 3 seniors. if students are being randomly chosen from groups of 12 freshmen, 17 sophomores, 16 juniors, and 20 seniors, how many possible committees can be formed?

Freshmen: ₁₂C₂

Sophomore: ₁₇C₂  =

Juniors: ₁₆C₃ =

Seniors: ₂₀C₃ =

₁₂C₂ * ₁₇C₂  * ₁₆C₃  * ₂₀C₃

66  * 136 *  560 * 1140 = 5,730,278,400

5,730,278,400

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).