Acommittee consisting of 3 faculty members and 5 students is to be formed. every committee position hs the same duties and voting rights. there are 13 faculty members and 12 students eligible to serve on the committee. in how many ways can the committee be formed?

Given: ae ≅ ce ; de ≅ be prove: abcd is a parallelogram. we have that ab || dc. by a similar argument used to prove that △aeb ≅ △ced, we can show that △ ≅ △ceb by. so, ∠cad ≅ ∠ by cpctc. therefore, ad || bc by the converse of the theorem. since both pair of opposite sides are parallel, quadrilateral abcd is a parallelogram.