3.39: Password counting with letters, digits and symbols

0606/13/O/N/22 — Question 9 · 4 marks

A 6-character password is formed from letters A–D, numbers 1–4 and symbols ∗*, #\#, $\text{\$}, ££. No character may be used more than once.
(a)(i)
Find the number of different 6-character passwords that can be formed.
[1]
(a)(ii)
How many of these end with a symbol?
[1]
(b)
Find how many include all four symbols, but do not start or end with a symbol.
[2]