Question

A professor teaching a Discrete Math course gives a multiple choice quiz that has six questions, each with four possible responses: a, b, c, d. What is the minimum number of students that must be in the professor’s class in order to guarantee that at least three answer sheets must be identical? (Assume that no answers are left blank.)

Answer 1

answer is 8193

for any doubt

comment

Total questions = 6 Tatal Raspenses a1b1d Auming that no ansuors ane loft blank. The nimbes iant anrr Shets thatare fosible (Total Rasp) Tatal questiens is (16 Th odes to maune that 3 shets ane denttal (ab) e ned eveny fostibity d doice amd the one mose Or mininum eumby et Shudats ensuning 13 idauncal uch 2x 441 8192+