In a certain opera, the performers sing a chorus involving 20 different names, a challenge for singers trying to remember the names in the correct order.(a) In how many ways can the names be arranged?(b) Not all the arrangements of names in part (a) could be sung, because 12 of the names have 3 syllables, 4 have 2 syllables, and 4 have 4 syllables. Of the 6 lines in the chorus, 4 lines consist of a 3-syllable namerepeated once, followed by a 2-syllable and then a 4-syllable name, and 2 lines consist of a 3-syllable name repeated once, followed by 3 more 3-syllable names. No names are repeated except where we'veindicated. How many arrangements of the names could fit this pattern?(a) The names can be arranged in 2.433x 1018(Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to three decimal places as needed.)ways.different arrangements.(b) There are(Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to three decimal places as needed.)

Definition A combination is a grouping of outcomes in which the order does not matter The number of…

Answered: n how many ways can the names be…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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3.) The sum of the ages of Roy, Boyet and Bong is 12. Boyet is 3 years younger than Roy and Roy is 6 years older than Bong. How old is Boyet?
Tell wether each problem represets a permutation or a combination. Then solve the problem. Brandon has 8 different plates with which to set the table. How many different ways can he place the plates? In how many ways can Mia choose 10 mugs fro a collection of 15? How many ways can 7 clarinet players be seated in 7 chairs in the concert band?
Which of the following could be the number of players on each team?
en the letters A, B, C, D, E, F, the number of 3 letter groups that can be made. B. Given 6 people in a club, the number of 6 person committees that are possible C. Given 6 people in a club, the number of ways that a president, secretary and treasurer L0Zd mu2 աալի Given 6 disting ds, the number of INIC. How many arrangements can be made using all the letters in the word OSOYOOS. A. 5040 B. 210 C. 2520 D. 105 the number of arrangements for theard TATTOO given that that the word be poppin. 2) The expression 321 x 320 x 319 x 318 can be simplified as nPr. The value of n + r =
Kk.12.
Directions: Write the letter of the correct answer on a separate sheet of paper. For items 1-2. A committee of five people in to be chosen from a group of six men and four women. 1. How many committees are possible if there are three men and two women? A. 120 В. 150 C. 300 D. 3600 2. How many committees are possible if there is to be majority of women? A. 33 в. 66 C. 109 D. 360 3. In how many ways can you pick 5 cards if you must choose a queen, then a king and then 3 other cards if every card is drawn one at a time? B. 2,598,960 A. 1,881,600 C. 3,292,800 D. 41,583,360 4. A box contains 8 blue socks and 6 red socks. Find the number of ways two socks can be drawn from the bax if they must be the same color. B. 28 5. How many diagonals does a 16-sided polygon have? B. 120 A. 15 C. 43 D. 420 A. 104 С. 224 D. 240
If there were 500 farms and they grew wheat corn and oats. If 125 grew only wheat and 110 grew only corn and 90 grew only oats and 200 grew wheat 60 grew wheat and corn and 50 grew wheat and oats and 180 grew corn how would you figure out the number of how many grew wheat corn and oats which is V on the venn diagram and how would you figure the numbers for II, IV and VI
Assume Amy is making a sandwich for lunch and needs to select her sandwich fixings. She will select two meats out of 5 options, 1 cheese out of 3 options, and exactly 3 or exactly 5 vegetables out of the 7 options. She will also decide whether to add mayo or not. How many ways can she make her sandwich.
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