(a) Find the number of ways in which 14 people can be put into 4 groups containing 2, 3, 4 and 5 people.

(b) 6-digit numbers are to be formed using the digits \(0,1,2,3,4,5,6,7,8,9\). Each digit may be used only once in any 6-digit number. A 6-digit number must not start with 0. Find how many 6-digit numbers can be formed if

(i) there are no further restrictions,

(ii) the 6-digit number is divisible by 10,

(iii) the 6-digit number is greater than 500 000 and even.