1. A non-case-sensitive password comprising of 3 digits and 4 alphabets needs to be formed . from digits 2, 5, 6, 7, 8 and alphabets a, b, d, e, f, i . With a condition that the digits and the alphabets can only be used once, how many passwords can be formed (i) it can only contain even numbers. [3 marks] (ii) the alphabets and the numbers are in alternate order. [3 marks] (iii). the numbers must be put together. [4 marks] 2. (b) There are 4 male and 5 female students in a Mathematics club. A team of 4 students will be chosen to represent the club for a local Mathematics competition. In how many ways can the team be formed if i. anyone can be chosen to represent the club. [1 marks] ii. one particular student must be selected. [2 marks] ili. it must have equal number of male and female students. [2 marks]