thank you so much!

1. IN HOW MANY DIFFERENT WAYS CAN ATEACHER ARRANGE A ROW OF 7 STUDENTS WITHOUT HAVING THE TALLEST PERSON BESIDE THE SHORTEST? 2. IN HOW MANY WAYS COULD A CHAIRPERSON, TREASURER, PRESIDENT AND SECRETARY BE CHOSEN FROM A 10-MEMBER BOARD OF DIRECTORS? 3. HOW DO YOU DEAL WITH REPEATING LETTERS IN A PERMUTATION? ANSWER THE 3 QUESTIONS BELOW. A) HOW MANY PERMUTATIONS ARE THERE OF THE LETTERS IN THE WORD 'DI'SCRETE' ? B) HOW MANY BEGIN WITH A S? C} HOW MANY END WITH A CONSONANT? 4. RE'WRITE EACH IN THE FORM "P, . 8! E A) 100x102x1o1x99 B) 5. SIMPLIFY EACH EXPRESSION BELOW. (ll-U! (n+1)! A) ("\"I' 7)X("'2)! B) (n+3)! B. CONSIDER THE WORD 'LEADING' : (4 MARKS) A) IN HOW MANY DIFFERENT WAYS CAN THE LETTERS OF THIS WORD BE ARRANGED IN SUCH A WAY THAT THE VOWELS ALWAYS COME TOGETHER? B) USE THE COMPLEMENT TO DETERMINE THE NUMBER OF ARRANGEMENTS OF THE LETTERS WHERE THE VOWELS ARE NOT TOGETHER