These are counting problems. You cannot simply write down the final answer. You must be sure to give sufficientexplanation for your counting method. As always - clarity, legibility, and composition count towards your grade.3. A form has 7 questions, each with 3 possible answers: AGREE (A), DISAGREE (D), or NO OPINION (N).How many different ways can the form be filled with the same number of AGREE's and DISAGREES's ?

As the form has 7 questions and as per the question, we need to fill the form with the same number…

Answered: 3. A form has 7 questions, each with 3…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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beautiful, wore, contest, a, Margot, to, the, pie-eating hat Margot a beautiful hat wore a to the pie-eating contest. Margot the pie-eating contest wore a beautiful hat. Margot wore a beautiful hat to the pie-eating contest.
A quiz has two problems. The first problem has 13 choices, out of which one is correct. The second problem has 3 choices, out of which one is correct. How many possible ways are there to answer the quiz?
A math instructor has 46 calculators in her office. Of them, 22 have dead batteries, 28 have cracked displays, and 24 have missing buttons. Of those with dead batteries, 16 have cracked displays and 11 have missing buttons. Of those with cracked displays, 18 have missing buttons. There are 9 with dead batteries, cracked displays, and missing buttons. How many calculators does she have with nothing wrong with them? (A) 6 (В) 4 (C) 5 (D) 9 (E) 8 (F) 3 (G) 1 (H)
All of the employees at the acmesoft company are either programmers or salespeople. The programmers are always tell the truth, the salespeople always lie. Threes Acmesoft employees - A, B, and C-were standing together in the hallway. A visitor passed by and asked A. "Are you a programmer or a salesperson?" A mumbled an answer that the visitor could not hear clearly. The visitor then asked B, "what did A say?" B replied. "A said that he is a salesperson."At this point, the third employee, C, said ,"Don't believe B; he is lying! What are B and C? 1/ B and C are both programmers 2/ B is a programmer and C is a salesperson 3/ B is a salesperson and C is a programmer 4/ B and C are both salesperson
Use the following information to answer the next question Leonidas is having a party and is planning to play some great music over the dinner hour. He made a short list of 18 songs that include 10 classical songs and 8 jazz songs. Over the dinner hour it is decided that of the 18 songs, 4 classical songs and 3 jazz songs will be selected, and then arranged into an order to be played. To determine the number of potential music arrangements for the party the following expressions were created: i) 10C4 X 8C3 X 7! ii) 10P4 8P3 iii) (¹0)(3) × 5040 iv) 18P7 v) (10 x 9 x 8 x 7) × (8 × 7 × 6) vi) 11. How many of the above expressions are correct? a) 5 b) 4 (10x9x8x7) (8x7x6) X 4! 3! c) 3 x 7! d) 2
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3. A form has 7 questions, each with 3 possible answers: AGREE (A), DISAGREE (D), or NO OPINION (N). How many different ways can the form be filled with the same number of AGREE's and DISAGREES's?