Question
how many ways can a student choose 5 questions from an exam containing 9 questions
Answers
GPT 3.5
The number of ways a student can choose 5 questions from an exam containing 9 questions can be calculated using combinations. The formula for combinations is:
C(n, r) = n! / (r! * (n-r)!)
Where n is the total number of items and r is the number of items to be chosen.
In this case, n = 9 and r = 5:
C(9, 5) = 9! / (5! * (9-5)!)
C(9, 5) = 9! / (5! * 4!)
C(9, 5) = 126
Therefore, there are 126 ways a student can choose 5 questions from an exam containing 9 questions.
C(n, r) = n! / (r! * (n-r)!)
Where n is the total number of items and r is the number of items to be chosen.
In this case, n = 9 and r = 5:
C(9, 5) = 9! / (5! * (9-5)!)
C(9, 5) = 9! / (5! * 4!)
C(9, 5) = 126
Therefore, there are 126 ways a student can choose 5 questions from an exam containing 9 questions.