(a) In a certain country, the car number plate is formed by 4 digits from the...

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(a) In a certain country, the car number plate is formed by 4 digits from the digits 1, 2, 3, 4, 5, 6, 7, 8 and 9 followed by 3 letters from the alphabet. How many number plates can be formed if neither the digits nor the letters are repeated? [2 Marks] (b) A woman has 11 close friends of whom six are also woman. (1) In how many ways can she invite three or more to a party? [3 Marks] (ii) In how many ways can she invite three or more of them if she wants the same [3 Marks] number of men and women (including her)? (a) In a certain country, the car number plate is formed by 4 digits from the digits 1, 2, 3, 4, 5, 6, 7, 8 and 9 followed by 3 letters from the alphabet. How many number plates can be formed if neither the digits nor the letters are repeated? [2 Marks] (b) A woman has 11 close friends of whom six are also woman. (1) In how many ways can she invite three or more to a party? [3 Marks] (ii) In how many ways can she invite three or more of them if she wants the same [3 Marks] number of men and women (including her)?