Mathematics - Permutation & Combination Question with Solution | TestHub

As for given question two cases are possible. (i) Selecting 4 out of first five question and 6 out of remaining 8 question $={}^5{\mathrm{C}}_4\times {}^8{\mathrm{C}}_6=140$ choices. (ii) Selecting 5 out of first five question and 5 out of remaining 8 questions $={}^5{\mathrm{C}}_5\times {}^8{\mathrm{C}}_5=56$ choices. Therefore, total number of choices $=140+56=196$.