Please help me with Problem 2 Problem 2In the video "How many ways are there to reorder the word MISSISSIPPI?" by Dr. Trefor Bazett, Dr. Bazett computes the number ofreorderings as follows. First he considers the number of places to put all the "S"s, then all the "I"s, then the two "Ps", and finally the "M".The resulting expression is(1)()Yes, math profs make mistakes too...2Part AFind the mistake in Dr. Bazett's solution. Describe what the error is and write down the correct solution!Part BPerform the same analysis, but start by placing the "M", then the two "P"s, then the four "I"s, and then the four "S"s. You should get anexpression that is similar to your corrected answer in Part A, including some of the same numbers, but in different places.Part CUsing the formula for (1), write a calculation to show that your answer in Part A agrees with (is the same number as) Dr. Bazett'ssolution in Equation 1.Part DThe method of combinatorial proof is used to show that two expressions are equal by demonstrating that they are different ways ofcounting the same thing. Use a combinatorial proof to show that, for any integers n, k, and j such that k + j≤n,(1)(3) (" *) = ('?) (^z ^) .jkNote: it is possible to do this with algebra, but please don't! The combinatorial proof is simpler and nicer.Hint: consider the number of ways to reorder a word of length n containing only three kinds of distinct letters.

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In the video "How many ways are there to reorder the word MISSISSIPPI?" by Dr. Trefor Bazett, Dr. Bazett computes the number of reorderings as follows. First he considers the number of places to put all the "S"s, then all the "I"s, then the two "Ps", and finally the "M". The resulting expression is 0000. Yes, math profs make mistakes too... 4 Part A Find the mistake in Dr. Bazett's solution. Describe what the error is and write down the correct solution! (1) Part B Perform the same analysis, but start by placing the "M", then the two "P"s, then the four "I"s, and then the four "S"s. You should get an

In the video "How many ways are there to reorder the word MISSISSIPPI?" by Dr. Trefor Bazett, Dr. Bazett computes the number of reorderings as follows. First he considers the number of places to put all the "S"s, then all the "I"s, then the two "Ps", and finally the "M". The resulting expression is 0000. Yes, math profs make mistakes too... 4 Part A Find the mistake in Dr. Bazett's solution. Describe what the error is and write down the correct solution! (1) Part B Perform the same analysis, but start by placing the "M", then the two "P"s, then the four "I"s, and then the four "S"s. You should get an

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.6: Counting Principles

Problem 8ECP: In how many different ways can two letters be chosen from the letters A, B, C, D, E, F, and G? (The...

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