There are 12 students in a party. Five of them are girls. In how many ways...

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There are 12 students in a party. Five of them are girls. In howmany ways can these 12 students be arranged in a row if (i) thereare no restrictions? (ii) the 5 girls must be together (forming ablock) (iii) no two girls are adjacent? (iv) two particular boys Aand B, there are no boys but exactly 3 girls?

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