SUPER EASY MATHS (V.趕)

Please give me the answer only, no need to show steps!!!!
1. Find the number of different 9-letter arrangements which can be made with the letters of the word EQUATIONS if (10 marks)i.) there is no restriction,ii.) no 2 vowels can be placed next to each other.2. A committee of 5 students is to be selected from a group of 6 boys and 8 girls. In how many ways can this be done if (10 marks)i.) the committee must be made up of students of the same sex,ii.) there must be at least 2 girls in the committee.3. One of the 8 girls is the sister of one of the 6 boys. Calculate the number of ways in which the committee can be formed given that both the siblings are among those selected.