A set contains 11 elements. The number of subsets of the set which contain at most 5   elements is

1. ${}^{12}C_0+{}^{12}C_2+{}^{12}C_4$
2. ${}^{11}C_0+{}^{11}C_1+{}^{11}C_2+{}^{11}C_3+{}^{11}C_4+{}^{11}C_5$
3. ${}^{11}C_0+{}^{11}C_1+{}^{11}C_2+{}^{11}c_3+{}^{11}C_4+{}^{11}C_5$
4. ${}^{11}C_0+{}^{11}C_1+{}^{11}C_2+{}^{11}C_3$

Solution

Asked in: AP EAMCET 2021 (20 Aug Shift 2)

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