Acandidate taking a mathematics paper is told to answer 5 of the 7 questions in section a, and 3 questions from the 5 options(each option consists of 3 questions) in section b, where not more than 2 questions from the same option can be chosen. assuming that he answers 8 questions altogether, find how many different combinations of questions he could attempt.

Which of the following are independent events? a) knowing that it is going to rain tomorrow, and bringing an umbrella to schoolb) knowing that you have to get up early tomorrow, and going to bed before 9 p.mc) knowing that it is going to rain tomorrow, and going to bed before 9 p.md) knowing that you have a test in school tomorrow, and studying thw night before