Given a group of students: G = {Allen, Brenda, Chad, Dorothy, Eric) or G = {A, B, C, D, E, list and count the differen ways of choosing the following officers or representatives for student congress (Allen, Chad, and Eric are men) Assume that no one can hold more than one office. A president, a secretary, and a treasurer, if the president must be a woman and the other two must be men
A) BAC, BAE, BCE, DAC, DAE, DCE, BCA, BEA, BEC, DCA, DEA, DEC:12 ways
B) CAB, EAB, ECB, CAD, EAD, ECD, ACB, AEB, CEB, ACD, AED, CED; 12 ways
C) BAC, BAE, DAC, DAE; 4 ways
D) BAC, BAE, BCE, DAC, DAE, DCE; 6 ways

37

step-by-step explanation:

answer is 144

step-by-step explanation:

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it

answer: im gonna go with milli

step-by-step explanation: