Mathematics

Problem

Which of the following expressions gives the number of ways to select at most 5 books from a shelf of 8 different books? a)

{}^{8}C_{5}

{}^{8}P_{0}+{}^{8}P_{1}+{}^{8}P_{2}+{}^{8}P_{3}+{}^{8}P_{4}+{}^{8}P_{5}

{}^{8}C_{0}+{}^{8}C_{1}+{}^{8}C_{2}+{}^{8}C_{3}+{}^{8}C_{4}+{}^{8}C_{5}

{}^{8}C_{1}+{}^{8}C_{2}+{}^{8}C_{3}+{}^{8}C_{4}+{}^{8}C_{5}