6. 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

1. A} WHAT IS THE DIFFERENCE BETWEEN PERMUTATIONS 8: COMBINATIONS'? USE THE FORMULA FOR EACH TO HELP EXPLAIN. B] DESCRIBE TWO EVERYDAY SITUATIONS IN WHICH ITEMS ARE CHOSEN AND THE ORDER OF THE SELECTIONS DOES NOT MATTER. 2. CONVERT TO FACTORIAL FORM AND THEN EVALUATE IF POSSIBLE. A] (3:18, 3) B) 502 C] 503 x 502 D) can\") 3. HOW MANY FOUR-MEMBER COMMITTEES CAN BE FORMED FROM A GROUP OF 9 PEOPLE? 4. IN HOW MANY WAYS COULD 6 ONLINE SUBSCRIPTIONS BE CHOSEN FROM A SET OF 12'? 5. HOW COULD YOU CHOOSE 4 SCHOOL SNACKS FRDM A BIN CONTAINING 1U DIFFERENT SNACKS TO FILL YOUR LUNCH PAIL