Questions on Algebra: Combinatorics and Permutations answered by real tutors!

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Question 1122548: Two fair six-sided dice are rolled.
What is the probability the sum of the numbers on the two dice is 5?

What is the probability the sum is 6?

What is the probability the sum is not 4?

What is the probability the sum is either 8 or 10?

What is the probability the sum is neither 9 nor 7?

Enter your answers as fractions in lowest terms.

Click here to see answer by rothauserc(4718) About Me 

Question 1122550: A box contains nine chocolates -- four with pecans, three with coconut, and two with raspberry creme. Spider-Man eats three of the chocolates, chosen randomly. What's the probability that he eats (exactly) two with coconut?

Enter your answer as a fraction in lowest terms

Click here to see answer by greenestamps(13198) About Me 
Question 1122550: A box contains nine chocolates -- four with pecans, three with coconut, and two with raspberry creme. Spider-Man eats three of the chocolates, chosen randomly. What's the probability that he eats (exactly) two with coconut?

Enter your answer as a fraction in lowest terms

Click here to see answer by ikleyn(52777) About Me 

Question 1122537: A bag contains two 1-dollar bills, three 5-dollar bills, and two 10-dollar bills. An experiment consists of drawing three random bills from the bag simultaneously. Considering an outcome to be the three selected bills, the experiment has C(7,3)=35 equally likely outcomes in its sample space. Let E be the event that at most one 5-dollar bill was drawn. What is n(E)?
Click here to see answer by greenestamps(13198) About Me 

Question 1122806: How many three-letter "words" can be made from 10 letters "FGHIJKLMNO" if repetition of letters is not allowed.
Click here to see answer by solver91311(24713) About Me 

Question 1122845: Each state of the 50 in the United States has two senators. In how many ways may
a majority be achieved in the U.S. Senate? Ignore the possibility of absence or
abstention. Assume that all senators are present and voting.

Click here to see answer by greenestamps(13198) About Me 

Question 1122854: Lili has 20 friends. Among them are Kevin and Gerry, who are husband and wife.
Lili wants to invite six of her friends to her birthday party. If neither Kevin nor
Gerry will go to a party without the other, how many choices does Lili have?

Click here to see answer by ikleyn(52777) About Me 

Question 1122883: From a faculty of six professors, six associate professors, ten assistant professors,
and twelve instructors, a committee of size six is formed randomly. What is the
probability that (a) there are exactly two professors on the committee; (b) all
committee members are of the same rank?

Click here to see answer by Boreal(15235) About Me 

Question 1123125: The question paper contains 5 questions. Question no. 1 has no choice but
question no. 2 to 5 each having an internal choice. In how many ways can an examinee
answer all the 5 questions?

Click here to see answer by ikleyn(52777) About Me 

Question 1123274: Six different books will be displayed in the library window. How many different arrangements are there?
Click here to see answer by solver91311(24713) About Me 

Question 1123434:
      WE
     NOW
 +  KNOW
   ELLIE

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Question 1122549: Seven students, including Jack and Jill, sit randomly in a row of seven chairs.
What is the probability that Jill is sitting in the first chair?

What is the probability that Jill is sitting in the first chair and Jack is not sitting in the second chair?

Enter your answers as fractions in lowest terms.

Click here to see answer by Alex.33(110) About Me 

Question 1123500: 2,6,10,14,18,22,26,30,34,38 me kaun si number me ji add Karne par ans100aaye

Click here to see answer by josgarithmetic(39617) About Me 

Question 1123582: Barb knits socks for a charity supporting homeless and low income people. She likes to make striped socks and selects from six different colours. The top stripe can be any colour. The second stripe many not match the first colour. The bottom colour may not match the second, but may match the first. How many distinct pairs of socks could Barb make?
Click here to see answer by solver91311(24713) About Me 

Question 1123583: How many ways are there for a company to assign three different jobs to three of its five employees?
Click here to see answer by ikleyn(52777) About Me 

Question 1123561: there are 10 seniors, 8 juniors, 5 sophomores, and 3 freshmen on a student council.a committee of 6 members is formed. determine the number of ways to form this committee with at least 4 seniors
Click here to see answer by Alex.33(110) About Me 

Question 1124256: simply -3-(-3)(-3)-3(-3)

Click here to see answer by josmiceli(19441) About Me 

Question 1124257: Convert 300 inches to miles. (Note: 1 mile contains 5280 feet.)
Click here to see answer by josmiceli(19441) About Me 
Question 1124257: Convert 300 inches to miles. (Note: 1 mile contains 5280 feet.)
Click here to see answer by Alan3354(69443) About Me 

Question 1124255: what is the answer for 4ac-2abc if a=2, b=-7, and c=-4
Click here to see answer by MathLover1(20849) About Me 

Question 1124224: thirty-three students went out for junior high football. how many ways can the coach create a lineup of 11 players

Click here to see answer by Alex.33(110) About Me 

Question 1124335: How many different groups of students can show up for a seminar with an enrollment of 13​?

Click here to see answer by addingup(3677) About Me 
Question 1124335: How many different groups of students can show up for a seminar with an enrollment of 13​?

Click here to see answer by ikleyn(52777) About Me 

Question 1124370: the probability that Henry is late for school is 0.3. find the probability on two consecutive he, never late. b) late only once
Click here to see answer by jim_thompson5910(35256) About Me 

Question 1124456: please help me. There are 6 black marbles, 6 white marbles, and 7 red marbles in a bag. If five marbles are chosen at random, find the probability that there will be two black, two white, and one red marble.
Click here to see answer by ikleyn(52777) About Me 

Question 1124455: A restaurant offers a choice of 6 appetizers, 15 entrees, and 5 desserts. How many meals consisting of one appetizer, two DIFFERENT entrees, and one dessert are possible?

Click here to see answer by Alex.33(110) About Me 

Question 1124574: 1 3 5 7 9 11 13 15 17 19, To Make 50 Use Only 5 Digits ...? What The 5 Digits
Click here to see answer by Fombitz(32388) About Me 
Question 1124574: 1 3 5 7 9 11 13 15 17 19, To Make 50 Use Only 5 Digits ...? What The 5 Digits
Click here to see answer by ikleyn(52777) About Me 

Question 1124667: An eight-volume set of reference books is kept on a shelf. The books are used frequently and put back
in random order.
a. How many ways can the eight books be arranged on the shelf ?
b. How many ways can the books be arranged so that Volume 5 will be the rightmost book?
c. Use the answers from (a) and (b) to find the probability that Volume 5 will be the rightmost
book if the books are arranged at random.
d. Explain how to compute the probability in (c) using another method.
e. If the books are arranged randomly, what is the probability that the last book on the right is
an even-numbered volume? Explain how you determined this probability.
f. How many ways can the books be arranged so that they are in the correct order, with volume
numbers increasing from left to right?
g. How many ways can the books be arranged so that they are out of order?
h. What is the probability that the books happen to be in the correct order?

Click here to see answer by ikleyn(52777) About Me 

Question 1124688: A committee of two men and three women is to be formed from 6 men and 4 women. How many different committees can be formed if;
(i) there are no restrictions;
(ii) a particular man and a particular woman cannot serve on the same committee.

Click here to see answer by jim_thompson5910(35256) About Me 

Question 1125008: Panel has a combination lock. Patel has to set each part of the lock to a digit between 0 and 9 inclusive. One possible way to do this is 0, 8, 0, 7.
(a) How many different ways can Pavel do this?


Pavel decides that the 1st and 3rd digits will be odd numbers and the 2nd and 4th digits will be even.
(b) How many different ways are possible now?

Click here to see answer by math_helper(2461) About Me 

Question 1125052: Express as a fraction in the simplest form: 8+16+24+...+784/6+12+18+...+588
Click here to see answer by ikleyn(52777) About Me 

Question 1125050: What is the smallest value of f that satisfies a^2 + b^2 + c^2 + d^2 + e^2 = f^2, given that a,b,c,d,e,f are all positive integers, not necessarily different?
Click here to see answer by ikleyn(52777) About Me 

Question 1125080: In a study of brand recognition, 964 consumers knew of Google, and 34 did not. Use these results to estimate the probability that a randomly selected consumer will recognize Google.
Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol.

Click here to see answer by ikleyn(52777) About Me 

Question 1125221: Suppose 11 manufacturers produce a certain microchip, whose quality varies from manufacturer to manufacturer. If you were to select 7 manufacturers at randon, what is the chance that the selection would contain exactly 2 of the best 3
Click here to see answer by ikleyn(52777) About Me 

Question 1125717: Please help me solve this equation. In how many ways can three pictures be selected from a group of six different pictures?
Click here to see answer by MathLover1(20849) About Me 

Question 1125833: Suppose a test for a disease has a sensitivity of 95% and a specificity of 60%. Further suppose that in a certain country with a population of 1,000,000, 20% of the population has the disease.
Fill in the accompanying table.


Has disease Does not have disease Totals
Test positive


Test negative


Totals

Click here to see answer by Boreal(15235) About Me 

Question 1126065:
Click here to see answer by Alan3354(69443) About Me 

Question 1126271: Seven Hatfields and three McCoys are up for 3 construction jobs in Williamson. What is the probability that all 3 jobs go to Hatfields?
Click here to see answer by Boreal(15235) About Me 

Question 1126272: Five Hatfields and two McCoys are up for 3 construction jobs in Williamson. What is the probability that all 3 jobs go to Hatfields?
Click here to see answer by Boreal(15235) About Me 

Question 1126277: Haroldo, Xerxes, Regina, Shaindel, Murray, and Georgia are invited to a dinner party. They arrive in a random order and all arrive at different times. What is the probability that Xeres arrives first AND Regina arrives last?
Six Hatfields and three McCoys are up for 3 construction jobs in Williamson. What is the probability that all 3 jobs go to Hatfields?
Haroldo, Xerxes, Regina, Murray, Norah, Stav, Zeke, Cam, and Georgia are invited to a dinner party. They arrive in a random order and all arrive at different times. What is the probability that Xeres arrives first?
Four Hatfields and five McCoys are up for 3 construction jobs in Williamson. What is the probability that all 3 jobs go to Hatfields?
Haroldo, Xerxes, Regina, Shaindel, Murray, Norah, Stav, Zeke, Cam, and Georgia are invited to a dinner party. They arrive in a random order and all arrive at different times. What is the probability that Xeres arrives first AND Regina arrives last?

Click here to see answer by ikleyn(52777) About Me 

Question 1126483: A photographer wishes to display nine different snapshots. How many ways can this be done?
Click here to see answer by Alan3354(69443) About Me 
Question 1126483: A photographer wishes to display nine different snapshots. How many ways can this be done?
Click here to see answer by ikleyn(52777) About Me 

Question 1126485: A small company consists of 10 men and 5 women. How many ways may three men and two women be chosen to serve on a planning committee?
Click here to see answer by ikleyn(52777) About Me 

Question 1126530: A woman has 11 friends and she would like to invite 5 of them for a get together, in how many ways can this be done if 2 of her 11 friends are not on speaking terms and will not attend together?
Click here to see answer by ikleyn(52777) About Me 

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