A movie theater offers showings of a movie each day. A total of 500 people come to see the movie on a particular day. The theater is interested in the number of people who attended each of the six showings. 81 +82 +83 +84 +85 +86 = 500. How many possibilities are there for the tallies for each showing for that day if... a...there are no restrictions? b ... none of the showings can be an empty theater? c... S12, 82 ≥ 3, 83 ≥ 4, 84 ≥ 5, 85 ≥ 6, 86 ≥ 7?
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- A school dance committee is to consist of 2 freshmen, 3 sophomores, 4 juniors, and 5 seniors. If 6 freshmen, 7 sophomores, 9 juniors, and 7 seniors are eligible to be on the committee, in how many ways can the committee be chosen? Your answer is:A town wishes to build a trail between city A, city B, city C, city D, and city E. The distances, in miles, between any two of the destinations are given in the table. Use the table to answer parts (a) and (b) below. A B C D E A * 154 134 216 129 B 154 * 195 51 243 C 134 195 * 225 220 D 216 51 225 * 308 E 129 243 220 308 * a) Use Kruskal's algorithm to determine the minimum-cost spanning tree that would link each location to create the least expensive trail. Choose the correct graph below. A. ABCD154216225E129 B. ABCD15419551E129 C. ABCD15413451E129 D. ABCD154134216E129 b) If the cost of building such a trail is $3700 per mile, what is the cost of building the trail determined in part (a)? The cost is:- For all the employees supervised by KING, give them a salary increase, which is equal to the 2% of the company’s average salary
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