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THINKING & INQUIRY 1. SIMPLIFY THE EXPRESSION BELOW FULLY. LEAVE YOUR ANSWER IN SIMPLIFIED, FACTORED FORM AND SHOW YOUR WORK. (N+4)! (N+6)! 2. SUPPOSE A CAR LICENSE PLATE MUST HAVE A TOTAL OF 6 CHARACTERS. EACH CHARACTER CAN BE ANY LETTER A TO Z OR ANY DIGIT 0 TO 9. (3 MARKS) A) IF YOU MUST START WITH A LETTER AND ALTERNATE LETTERS AND NUMBERS, HOW MANY POSSIBLE PLATES ARE THERE? B) HOW MANY FEWER PLATE POSSIBILITIES ARE THERE IF NO REPETITION IS ALLOWED? 3. THE GAME OF EUCHRE ONLY USES THE 9,10, JACKS, QUEENS, KINGS, AND ACES OF EACH SUIT FROM A STANDARD DECK OF 52 CARDS. (3 MARKS) HOW MANY FIVE-CARD EUCHRE HANDS HAVE AT LEAST TWO BLACK CARDS? NOTE: THE ANSWER FROM ABOVE CAN BE DONE IN 2 DIFFERENT WAYS. PLEASE CIRCLE THE METHOD YOUR SOLUTION ILLUSTRATES.. DIRECT OR INDIRECT