A question paper has two parts, Part A and party B each containing 10 questions. If a student has to chose 8 from Part A and 5 from Part B, in how many ways can he choose the questions?

Explanation

There 10 questions in part `A` out of which 8 question can be chosen as


`=\ ^10 C_{8}` Similarly, 5 questions can be chosen from 10 questions of Part B as


`=\ ^10 C_5` Hence, total number of ways,


`=\ ^10 C_{8} times\ ^{10} C_{5} `


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