A question paper consists of 11 questions divided into two sections I and II. Section I consists of 5 questions and section II consists of 6 questions. ln how many ways can a student select 6 questions, taking at least 2 questions from each section?
Answers
Answer:
525
Step-by-step explanation:
Hi,
Given that Section I consists of 5 questions and Section II
consists of 6 questions. A student has to select 6 questions
taking at least 2 questions from each section.The above
scenario can be divided into the following cases as follows
Case 1: 2 Questions from Section I and 4 questions from
Section II
2 questions out of 5 can be selected from Section I in ⁵C₂ = 10
ways and 4 questions out of 6 can be selected in ⁶C₄ = 15 ways,
Total number of ways this selection could be made up are 10*15
= 150
Case 2: 3 Questions from Section I and 2 questions from
Section II
3 questions out of 5 can be selected from Section I in ⁵C₃ = 10
ways and 3 questions out of 6 can be selected in ⁶C₃ = 30 ways,
Total number of ways this selection could be made up are 10*30
= 300
Case 3: 4 Questions from Section I and 2 questions from
Section II
4 questions out of 5 can be selected from Section I in ⁵C₄ = 5
ways and 2 questions out of 6 can be selected in ⁶C₂ = 15 ways,
Total number of ways this selection could be made up are 5*15
= 75
Hence total number of ways are 150 + 300 + 75 = 525
Hope, this helps !