Donghoan Lee Assignment Homework 2 2 due 09 09 2021 at 11 59pm EDT FA21 BL MATH M118 11252 1 1 point Evaluate the factorials 6 1 5 0 Answer s submitted 720 1 120 1 correct 2 1 point 5040 correct 3 1 point Evaluate the number of permutations P 10 4 Answer s submitted Evaluate the number of permutations P 19 2 Answer s submitted 342 correct 4 1 point There are 11 people eligible for the positions of president vice president and secretary of the math club How many different ways can the positions be lled Answer s submitted 990 correct 5 1 point Rework problem 4 from section 2 2 of your text involving the choice of of cers for a committee For this problem assume that you have a committee of 8 members and that you must choose a secretary chairperson and parliamen tarian In how many ways can these selections be made Answer s submitted 336 correct 6 1 point Jack has six Scrabble tiles that spell the word CHARTS How many ve letter words can be formed using ve of these tiles They do not need to be real English words Answer s submitted 720 correct 7 1 point Rework problem 26 from section 2 2 of your text involving the casting of a play in a community theater As sume that there are 9 un lled roles 4 male and 5 female There are 6 men and 7 women including Jennifer auditioning for a part in the play 1 How many different casts are there 2 How many of these casts include Jennifer Answer s submitted 907200 129600 score 0 5 8 1 point In how many ways can 4 students including Madison be seated in a row of 4 chairs if Madison insists on sitting in the rst chair 8 1 point Answer s submitted 6 correct 9 1 point There are 4 men and 7 women auditioning to be in the school play Answer the following questions 1 If the cast consists of 2 women and 2 men how many different casts can be selected 2 If the cast consists of 2 women or 2 men how many different casts can be selected 1 How many different ways can the of cers be selected if the of cers must come from both parties i e they cannot all be from the same party Answer s submitted 126 110 incorrect 10 1 point There are ten people in the Pokemon club including Allison Brad and Connor The club is about to hold their bimonthly pizza party One of the club members will be responsible for bringing pizza another will be responsible for bringing fresh fruit and vegetables and a third will be responsible for bringing beverages and supplies How many different ways can the responsibilities be allotted to club members Answer s submitted 990 24 990 252 score 0 5 How many different ways can the responsibilities be allotted with Allison bringing the pizza How many different ways can the responsibilities be allotted with Allison bringing something Answer s submitted 3780 correct How many different ways could the responsibilities be allot ted among just Allison Brad and Connor Answer s submitted 720 72 216 6 correct 11 1 point There are eleven Senators on the Banking Committee four of them are Democrats and the other seven are Republicans The Banking Committee must select a Chair a Co Chair and a Recorder These of ces must all be lled by distinct Senators How many different ways can the of cers be selected How many different ways can the of cers be selected with all of them being Democrats How many different ways can the of cers be selected with all of them being from the same party either Democratic or Republican Answer s submitted 4200 correct Answer s submitted 5040 correct Answer s submitted 6 correct 2 12 1 point How many different anagrams can be created from TEN NESSEE An anagram is an arrangement of the letters in a word or name For example DINAIAN INDIANA and ANINDIA are all ana grams of INDIANA 13 1 point How many different ten digit numbers can be formed from three 6 s four 7 s and three 8 s For example 7678876786 is one such number 14 1 point How many distinct 9 letter words starting with the letter C can be formed by rearranging the letters in the word COMMITTEE They do not need to be real English words 15 1 point Luanne has three different frozen dinners and is making plans to eat one of the dinners each day for the next three days How many different three day meal plans are possible 16 1 point Ziggy has six different frozen dinners and is making plans to eat one of the dinners each day for the next three days How many different three day meal plans are possible 17 1 point Oleg has nine frozen dinners four of them are the same kind of vegetable lasagna and the other ve are the same kind of pad thai Oleg is making plans to eat one of the dinners each day for the next nine days How many different nine day meal plans are possible Answer s submitted 120 correct Generated by c cid 13 WeBWorK http webwork maa org Mathematical Association of America Answer s submitted 126 correct 3