Question

a) Some crazy professor has set an examination paper which contains five mathematics questions and 6 engineering questions. An unfortunately candidate is required to choose exactly 8 questions. Find the number of ways;
(i) If there is no further restriction in choosing question.
(ii) Suppose that the unfortunate candidate is required to choose exactly mathematic questions and four engineering questions. (iii) Suppose that the unfortunate candidate is required to choose at least four history questions.
(iv) Suppose that the unfortunate candidate is required to choose exactly.
b) Determine the number of ways of arranging the letter WOOLLOOMOOLOO.

Answer 1

627373733838+@;#73;3828@+@+#83833+2#+3+#378#37383&383+373833