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7 POINTS 8 SOLVE THE FOLLOWING PROBLEMS A IN HOW MANY WAYS CAN THE LETTERS OF THE WORD TRACK BE ARRANGED PAGE 4 OF 13 B A STUDENT MUST SELECT AND ANSWER SIX OUT OF TEN QUESTIONS ON AN EXAM IN HOW MANY WAYS CAN THIS BE DONE C A TEACHER DECIDES TO GIVE SIX IDENTICAL PRIZES TO 6 OF THE 20 STUDENTS IN HIS CLASS IN HOW MANY WAYS CAN THIS BE DONE D HOW MANY DISTINCT ARRANGEMENTS CAN BE MADE WITH THE LETTERS IN THE WORD CONNECTION E HOW MANY AUTOMOBILE LICENSE PLATES CAN BE MADE IF EACH PLATE CONTAINS 3 DIFFERENT DIGITS FOLLOWED BY 3 DIFFERENT LETTERS F IF A BASEBALL TEAM CONSISTS OF 18 PLAYERS HOW MANY POSSIBLE GROUPS OF 9 MAN TEAMS ARE POSSIBLE G HOW MANY DIFFERENT COMMITTEES CAN BE FORMED FROM 4 TEACHERS AND 20 STUDENTS IF THE COMMITTEE IS TO CONSIST OF TWO TEACHERS AND THREE STUDENTS
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