(c) Required number of selections $= {\ ^{8}C}_{4} + {\ ^{8}C}_{5} + {\ ^{8}C}_{6} + {\ ^{8}C}_{7} + {\ ^{8}C}_{8}$ $= 70 + 56 + 28 + 8 + 1 = 163$
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.