the first case there is still a need to think about the other seating arrangments, with just the extra caviat being that lancelot is next to arthur so it isnt
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in regards to the first case there is still a need to think about the other seating arrangments, with just the extra caviat being that lancelot is next to arthur so it isnt just 2 configurations
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- Suppose you want to select two types of snacks and one drink in a coffee shop. There are 5 choices of snacks and 10 types of drinks to choose from. If you don't want to pick the same snack twice, how many different combinations of 2 snacks and 1 drink could you have? Note, we consider the order of choosing snacks does not matter.For each problem, show all work and explain your reasoning.(a) Does the overall configuration consider the order of the individual pieces of the configuration?(b) Count the number of different configurations for the prompt.1. Passwords of length seven containing distinct letters consisting of uppercase English lettersand/or lowercase English letters2. Committees consisting of four folks formed from the 11 Math faculty members3. Usernames of length six consisting of uppercase English letters, lowercase English letters,and/or numbers from 0–94. Election results from 6 Math 150 students for course president, vice president, and treasurer5. Phone numbers containing only odd numbers6. Social security numbers containing neither 8’s nor 9’s7. Ice cream sundaes consisting of three distinct flavors taken from ten total flavors8. Handfuls of five Skittles consisting of only “warm” colors from a jar containing 8 red, 11green, 7 yellow, 12 purple, and 13 orange9. Possible rolls from fair 6-sided,…asap..
- Ms. Stoffers is having 12 guests over from Thanksgiving, She has two different tables to seat her guests . At the table, there are only 4 chairsHow many way are there to seat the 12 guests at the first table everyone gets along and it doesn't matter who sits whereYou need to fly from NYC to LA with a stopover in Dallas. If there are three different flights available from NYC to Dallas and four different flights available from Dallas to LA , now many different trips can you take?
