4.11: Arrangements and selections

0606/23/M/J/26 — Question 8 · 6 marks

(a)

Find the number of arrangements of \(A,B,C,D,E\) that begin with \(A\) or \(B\) and do not end with \(E\).

[2]

(b) (i)

Five numbers are chosen from \(1\) to \(9\) without repetition and order is irrelevant. Find the number of choices containing one even number and at least three odd numbers.

[2]

(b) (ii)

Find the number of choices containing at least one number greater than \(6\).

[2]