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Combinatorics Assignment SHOW ALL WORK ! Date Find the number of possibilities in each scenario. 1) Lea and James are planning trips to four 2) Selecting which ten players will be in the countries this year. There are 7 countries batting order on a 11 person team. they would like to visit. One trip will be one week long, another two days, another two weeks, and the other a month. Find each term described. 3) 3rd term in expansion of (2m3 - 1)' 4) Solve for n in the equation: ,,P4=12(, C3) Find each coefficient described. 5) Coefficient of v2 in expansion of (v3 - 2) 6) a) How many 4-digit even numbers greater than 5 000 can you form using the digits 0, 1, 2, 3, 5, 6, 8, and 9 without repetitions? b) How many of these numbers end in 0? -d