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

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 Algebra: Combinatorics and Permutations Solvers Lessons Answers archive Quiz In Depth

 Question 169354: I am stuck on a problem. I'm not sure where I went wrong. Will you please help. I have a table with the following values: 456,306,160,363,376,935,54,349 I have to find the mean, the median, the mode, and the standard deviation of the data. Round to the nearest hundredth if necessary. For the mean I came up with 374.88 For the median I came up with: 354.5 For the mode I came up with: 0 since no numbers repeat themselves. Now for the standard deviation I went as follows: (456-374.88)+(306-374.88)+(160-374.88)+(363-374.88)+(376-374.88)+(935-374.88)+(54-374.88)+(349-374.88)/8 =81.12-68.88-214.88-11.88+1.12+560.12-320.88-25.88/8 =-0.04/8 =-5.E-03 What did I do wrong. Will you please show me. Thanks Click here to see answer by scott8148(6628)

 Question 169665: A club consists of 25 married couples. Determine how many ways a committee of 7 people can be formed from these couples if a) there are no restrictions? b) there are exactly 5 men on the committe? c) at least one person must be a man? d)there must be at least 3 women and at least 2 men? Click here to see answer by stanbon(57347)

 Question 169664: a) How many 4-digit numbers can be formed from the set A = {0,1,2,3,4,5,6}if there is no repetition? b) How many of the numbers in part a) are odd? c) How many of the numbers in part a) contain 3? d) How many of the numbers in part a) are divisible by 5? Click here to see answer by Edwin McCravy(8909)

 Question 169722: A club consists of 25 married couples. Determine how many ways a committee of 7 people can be formed from these couples if: a) there are no restrictions? b) there are exactly 5 men on the committee c) at least one person must be a man d) there must be at least 3 women and at least 2 men Click here to see answer by edjones(7569)

 Question 169607: 1). In how many ways we can arrange the alphabets of the word "ARRANGE" so that i)Two a's are always together ii)Two a's are together and two R are not together. Click here to see answer by stanbon(57347)

 Question 169918: a)In how many ways can 4 people be seated around a circular table with 4 identical chairs? b) in how many ways can 5 people be seated around a circular table if 1 of the chairs is an armchair? Click here to see answer by stanbon(57347)

 Question 169917: a) how many arrangements can be formed from all the letters in the word parallel? b) In how many of these arrangements will the 3 l's be together? Click here to see answer by stanbon(57347)
 Question 169917: a) how many arrangements can be formed from all the letters in the word parallel? b) In how many of these arrangements will the 3 l's be together? Click here to see answer by edjones(7569)

 Question 169952: 1.how many 7-digit telephone numbers are possible if the first digit cannot be 0 and a: only odd digits may be used. b: the telephone number must be a multiple 0f 10 c: the telephone number must be a multiple of 100 d: the 1st 3 digits are 481 e: no repetition are allowed. Click here to see answer by 1433(2)

 Question 170259: A baseball player with a batting average of .300 comes to bat. What are the odds in favor of the ball player getting a hit. Click here to see answer by nerdybill(6958)

 Question 170254: A couple has narrowed down the choice of a name for their new babyto 3 first names and 5 middle names. How many different first and middle name combinations are possible Click here to see answer by checkley77(12569)

 Question 170323: Find the term not involving y in the expansion of bracket( 1 over y exponent 3 + y exponent 2 closed bracket) exponent 5 Click here to see answer by stanbon(57347)

 Question 171758: Please double check my work. A musician plans to perform 4 selections. In how many ways can she arrange the musical selections? 4 * 4 = 16 4 * 3 = 12 4 * 2 = 8 4 * 1 = 4 I multiplied the answers all together and came up with 6,144 ways. Did I do this right? Click here to see answer by Alan3354(30993)

 Question 171754: Please double check my work. A bag contains 17 balls numbered 1 through 17. What are the odds in favor of selecting a ball that has an even number? p(even) = 8/17 p(odd) = 9/17 so there is a 1/17 chance of selecting an even ball. Am I right? Click here to see answer by Alan3354(30993)

 Question 171961: How many ways can you sit seven people around a table made for seven? Click here to see answer by edjones(7569)

 Question 172778: The first three terms in the expansion of (1+ay)^n are 1,12y, and 68y^2 Evaluate a and n. Use the fact that: (1+ay)^n=1+nay+n(n-1)/2(ay)^2+... my teacher told me to use: c(n,k)(1)^n(ay)^k to figure it out and to refer to pascals triangle, But it hasnt helped. I would very much appricate if someone could help. Thanks Click here to see answer by vleith(2825)
 Question 172778: The first three terms in the expansion of (1+ay)^n are 1,12y, and 68y^2 Evaluate a and n. Use the fact that: (1+ay)^n=1+nay+n(n-1)/2(ay)^2+... my teacher told me to use: c(n,k)(1)^n(ay)^k to figure it out and to refer to pascals triangle, But it hasnt helped. I would very much appricate if someone could help. Thanks Click here to see answer by adamchapman(301)

 Question 173175: How many 7-digit telephone numbers are possible if the first digit cannot be zero and the 3 digits are 481 Click here to see answer by Alan3354(30993)

 Question 173514: if the perimeter of a rectangle is 20 feet and the diagonal is 2 sqrt13 feet, then what are the length and width? Click here to see answer by solver91311(16885)
 Question 173514: if the perimeter of a rectangle is 20 feet and the diagonal is 2 sqrt13 feet, then what are the length and width? Click here to see answer by Mathtut(3670)

 Question 173860: sammy shopper is at the shell shop.the shop has brown shells and white shells.there are small,median,and large shells.list the possible combinations sammy may buy. Click here to see answer by Fombitz(13828)

 Question 173974: Hello, I have worked out a story problem but I do not know if I am on the right track with it. Here is the problem: The period T ( time in seconds for one complete cycle) of a simple pendulum is related tot he lenght L ( in feet) of the pendulum by the formula 8T^2=pie^2L. If a child is on a swing with a 10-ft chain, then how long does it take to complete one cycle of the swing? This is how I worked it out: T~2pie(46) L is length of pendulum in meters G is grauitational acceralation=9.8m/s. 10'=3.05m t=2pie(l/G) T=2pie (3.05/9.80=3.5 seconds is my answer Click here to see answer by stanbon(57347)

 Question 173995: area of a triangle. Find the exact are of a triangle with a base of sqrt30 meters and a height of sqrt6 meters Click here to see answer by nerdybill(6958)

 Question 174051: Hello, Okay I have submitted this problem twice already but I believe that I have figured it out. if the average radius of the orbit of venus is 0.723 AU, then how many years does it take for venus to complete one orbit of the sun? use these to figure the problem 28.46years 11.86 years sun to jupiter, 5.2AU This is how I worked out the problem v=x/.37793 jupiter11.86/5.2 5.2x=4.4822 x=.86 years to obrit the sun for some reason that doesn't look right to me because how can you orbit the sun in .86 years is there a such thing? Click here to see answer by stanbon(57347)
 Question 174051: Hello, Okay I have submitted this problem twice already but I believe that I have figured it out. if the average radius of the orbit of venus is 0.723 AU, then how many years does it take for venus to complete one orbit of the sun? use these to figure the problem 28.46years 11.86 years sun to jupiter, 5.2AU This is how I worked out the problem v=x/.37793 jupiter11.86/5.2 5.2x=4.4822 x=.86 years to obrit the sun for some reason that doesn't look right to me because how can you orbit the sun in .86 years is there a such thing? Click here to see answer by vleith(2825)

 Question 174216: Find the exact length of the side of a square whose digonal is 3 feet. Click here to see answer by Mathtut(3670)

 Question 174214: If a ball is tossed into the air from height of 6 feet with a velocity of 32 feet per second, then its altitude at time t ( in seconds) can be described by the fuction A(t)=-16t^2+32t+6 Find the altitude of the ball at 2 seconds. Now with this problem what I set this equation to zero? Click here to see answer by vleith(2825)

 Question 174213: If a manufacturer charges a q dollars each for footballs, then he can sell 300-150q footballs per week. Find a polynomial R(q) that represents the revenue if the price is \$8.00 for each football. Click here to see answer by Mathtut(3670)

 Question 174238: n! _______ 2!(n-2)! I understand that 5! is 5*4*3*2*1 I do not understand how to figure n! I understand that 2! is 2*1 and (n-2)! is (n-2)*(n-1) which would make the problem n! ________________ 2*1(n-2)*(n-1) Atleast I think that's what the problem would be, but now what? What do I do with the n! ??? I'm so confused. PLEASE HELP!! Thank you in advance! Click here to see answer by Earlsdon(6287)
 Question 174238: n! _______ 2!(n-2)! I understand that 5! is 5*4*3*2*1 I do not understand how to figure n! I understand that 2! is 2*1 and (n-2)! is (n-2)*(n-1) which would make the problem n! ________________ 2*1(n-2)*(n-1) Atleast I think that's what the problem would be, but now what? What do I do with the n! ??? I'm so confused. PLEASE HELP!! Thank you in advance! Click here to see answer by stanbon(57347)

 Question 174215: Okay to make sure that I was on the right track witht his problem Sketch the graph of each function or relation and state the domain and range. y=|x|=-4 |x|-4=y |x|=4+y |x|=y+4 domain all real numbers range x=+-(y+4) x=y+4 x=-(y+4) x=-y-4 x=y+4,-y-4 all real numbers and then to sketch the grapg wouldn't it come to like a v? Click here to see answer by ilana(307)

 Question 175180: Please help me on these questions, I've tried for hours and i'm torn. I beg you. Solve each equation. 1. 2x3 – 5x2 – 3x + 2 = 2 2. x3 + 64 = 0 A. -4,2 +/- 2i/3 B. 3,-1 +/- 2i/3 C. -4,2 +/- 3i/4 D. 4,2 +/- 2i/3 3. x4 – 8x2 – 9 = 0 A. 2,-3,4i,i B. -3,3,i,-i C. 2,-3,4i,-i D. 3,i,-i Use the Rational Root Theorem to find all the roots of each equation. 4. x3 + 9x2 + 19x – 4 = 0 5. 2x3 – x2 + 10x – 5 = 0 6. Two roots of a polynomial equation with real coefficients are 2 + 3i and . Find two additional roots. Then find the degree of the polynomial. A. 2-4i,-/8; Degree2 B. 2-3i,/7; Degree4 C. 2-3i,-/7;Degree4 D. 2+4i,-/9;Degree12 Evaluate each expression. 7. 6P4 8. 5(3P2) 9. 5C2 + 5C1 10. 7C3/7C4 11. There are 14 different types of boxed nails in the hardware store. You plan to buy 5 different types of boxed nails. How many different combinations are there? 12. In how many different orders can six colored blocks be chosen from a set of 23 different blocks? Click here to see answer by solver91311(16885)

 Question 175392: How many ways can you fill three different positions by choosing from 15 different people? I keep getting 15 3. Click here to see answer by Alan3354(30993)

 Question 175396: What inequality sign would make a true statement if it replaced the question mark in the following equation: 3-5?-3 Click here to see answer by Mathtut(3670)

 Question 175407: How many ways can you arrange eight books on a shelf? Click here to see answer by rapaljer(4667)

 Question 175406: How many arrangements of the letters in the word 'olive' can you make if each arrangement must use three letters? Click here to see answer by stanbon(57347)

 Question 175405: If (base 100)C(base 2) has a value of 4,950, what is the value of (base 100)C (base98)? Click here to see answer by rapaljer(4667)

 Question 175401: Please help, I'm gettin no where with it. Car thieves steal on automobile out of 400 of a certain type every year in a certain city. What annual net premium should an owner pay for theft insurance in the amount of \$16,000 on the certain type of car? Click here to see answer by stanbon(57347)

 Question 175399: Please help me solve the problem: A teacher has a set of 12 problems to use on a math exam. The teacher makes different versions of the exam by putting 10 questions on each exam. How many different exams can the teacher make? Click here to see answer by gonzo(654)

 Question 175393: How many different permutations can you make with the letters in the word seventeen? Click here to see answer by gonzo(654)
 Question 175393: How many different permutations can you make with the letters in the word seventeen? Click here to see answer by Edwin McCravy(8909)