(a) A 5-digit code is to be chosen from the digits \(1,2,3,4,5,6,7,8\) and \(9\). Each digit may be used only once in any 5-digit code. Find the number of different 5-digit codes that may be chosen if

(i) there are no restrictions,

(ii) the code is divisible by \(5\),

(iii) the code is even and greater than \(70000\).

(b) A team of \(6\) people is to be chosen from \(8\) men and \(6\) women. Find the number of different teams that may be chosen if

(i) there are no restrictions,

(ii) there are no women in the team,

(iii) there are a husband and wife who must not be separated.