An examination paper consists of 5 questions in section A and 5 questions in section B. A total of 8 questions must be answered. In how many ways can a student select the questions if he is to answer at least 4 questions from section A.
Answers
Given : An examination paper consists of 5 questions in section A and 5 questions in section B.
A total of 8 questions must be answered.
To Find : In how many ways can a student selected the questions if he is to answer at least 4 questions from section A
Solution:
There are 2 possible cases
4 Question from Section A and 4 Question from Section B
or
5 Question from Section A and 3 Question from Section B
4 Question from Section A and 4 Question from Section B
⁵C₄*⁵C₄ = 5 * 5 = 25 ways
5 Question from Section A and 3 Question from Section B
⁵C₅ * ⁵C₃ = 1 * 10 = 10 ways
Hence 25 + 10 = 35 ways
Student can select Questions in 35 ways
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