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Question 1063112: There are 3 football teams the first team has 10 points more than the second team and the second team has 5 more than the last team all together they have 110 points
Click here to see answer by stanbon(75887)

Question 1063164: Hello everyone! I need help on the following problems. I'm answering 6 exercises but skipped the following questions from different exercises since I am very confused. I would be very happy to receive a response.
1. In how many ways can 5 people be seated in a car, two in the front seat and 3 in the rear seat, if only 3 of the 5 can drive and others cannot drive?
2. An engineering firm wishes to hire 3 plumbers, 2 electricians and 2 machine operators. How many different choices can be made if 6 plumbers, 5 electricians, and 4 machine operators are available?
3. A team consists of 10 men and 20 women of which half the men and the women have brown eyes. Find the probability that a person chosen at random is a man or has brown eyes.
4. Find: P(Z > 2.75)
5. The lifetime of flashlight batteries is normally distributed with a mean of 1.5 and standard deviation of 0.5 hours. What is the probability that a battery selected at random will have a lifetime between 2 to 3 hours?

Thank you so much!
Kind regards,
DLlamera
Click here to see answer by Boreal(15235)

Question 1063162: Hello Sir! My email address is: shahnirav72@gmail.com.
Question is as follows: Seven different lecturers are to deliver lectures in seven periods of a class on a particular day. A,B and C are 3 of the lecturers. The number of ways in which routine can be prepared such that A delievers his lecture before B and B before C is? Options are (a) 420 (b) 120 (c) 210 (d) 840 Please help me out to solve this sum. Thanks a lot.......... I have tried much by 5P5*5P5*5P5= 5*5*5=125 but that doesn't match the answer.

Click here to see answer by KMST(5328)

Question 1063265: 24 numbers can be formed using the digits 4,6,5and 8 where each digit is used only once. the sum of all the digits of these 24 numbers is.......
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Question 1063419: 1+3+5+7+9+11+13+15+17+19 =100cancel 5 number get50
Click here to see answer by Alan3354(69443)

Question 1063404: How many permutations can be made out of the word TRIANGLE so that arrangement begins with t

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Question 1063543: A family picture is to be taken by lining up the parent at the center, 3 sons on the lft, and 4 daughters on the right. In how many ways can this be done?

Click here to see answer by ikleyn(52777)

Question 1063512: in a poker hand consisting of 5 cards, find the probability
of holding 2 aces and 3 jacks?

Click here to see answer by Edwin McCravy(20054)

Question 1063535: In a row of 6 counters, 3 are red, 2 are blue and 1 is white.
Find the number of arrangements in which no red counter is
next to another red counter.
Click here to see answer by Edwin McCravy(20054)

Question 1063710: on my homework i have to find the probability and put the answer in a percent . the question is " an arrangement of the letters in the word MONTANA . "
Click here to see answer by Alan3354(69443)

Question 1063732: In how many ways can 4 people be chosen and arranged in a straight line, if there are 12 people from whom to choose?
Click here to see answer by addingup(3677)

Question 1063948: Greeting cards are sold in packs of 6,8 and 24 cards . The minimum number of packs needed to buy exactly 110 cards is what?
Click here to see answer by Edwin McCravy(20054)

Question 1064194: How many ways can 2 men and 2 women be selected for a debate tournament if there are 11 male finalists and 12 female finalists?

There are____________ways to select 2 men and 2 women for the debate tournament

Click here to see answer by KMST(5328)

Question 1064481: out of 5 male worker and 7 female worker of a factory, a task force consisting of 2 male workers and 3 female workers is to be formed.in how many ways can this be done if one particular female must be a member
Click here to see answer by Boreal(15235)

Question 1064613: How many ways can 5 boys be seated in a row of 7 chairs?
Click here to see answer by Edwin McCravy(20054)

Question 1064616: In how many ways can a committee of 5 be formed from 5 juniors and 7 seniors if the committee must have 3 seniors?
Please help me. Please explain. Thanks.
Click here to see answer by Edwin McCravy(20054)

Question 1064532: In how many ways can Ray, Steve, Ben, Ann, Cindy, and Dolly line up so that no two of the three boys are next to each other?
Click here to see answer by Edwin McCravy(20054)

Question 1064733: how large can the population of a town be if no two people are allowed to have same 3 letter initials

Click here to see answer by Alan3354(69443)

Question 1064941: (q): how many automobile license plates can be made if the inscription on each contains two different letters followed by 3 different digits.
Click here to see answer by Alan3354(69443)

Question 1064985: Suppose that you have just bought a new car and that the radio has buttons that you can program to tune in three AM stations and five FM stations. There are 24 AM stations and 15 FM stations. How many different combinations of three AM stations can you choose from 24?
Click here to see answer by Boreal(15235)

Question 1064988: Suppose that you have just bought a new car and that the radio has buttons that you can program to tune in three AM stations and five FM stations. There are 24 AM stations and 15 FM stations. How many different combinations of of five FM stations can you choose from 15?
Click here to see answer by jorel1380(3719)

Question 1065218: A 4-person grievance committee is to be selected out of 2
departments, A and B, with 17 and 29 people. In how many
ways can the following committees be selected.
A) 3 from A and 1 from B
B) 2 from A and 2 from B
C) All from A
D) 4 people regardless of department
E) at least 3 from department A.
Click here to see answer by Edwin McCravy(20054)

Question 1065199: A catering service offers appetizers, main courses, and desserts. A banquet chairperson is to select appetizers, main courses, and desserts for a banquet. In how many ways can this be done?

Click here to see answer by ikleyn(52777)

Question 1065353: Five cards are drawn from a standard deck of cards. The number of hands consisting of three clubs and two diamonds is given by?
Click here to see answer by Fombitz(32388)

Question 1065103: there are 14 teachers. A student is asked to indicate her favorite and least favorite. in how many ways is this possible?
Click here to see answer by Alan3354(69443)

Question 1065389: How many different permutations are possible for five friends waiting in line
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Question 1065541: A television game show has 12 contestants. Prizes will be awarded for finishing first and for finishing second. How many different ways can the two prizes be awarded?
Click here to see answer by Fombitz(32388)

Question 1065677: Suppose any 7-digit number whose first digit is neither 0 nor 1 can be used as a telephone number.
a. How many telephone numbers are possible if repetition of digits is allowed? b. How many are possible if repetition of digits is not allowed?
c. A number such as 911-_ _ _ _ �WASTES� a lot of phone numbers. How many phone total numbers are wasted due to 911, 411 & 555?
Click here to see answer by Fombitz(32388)

Question 1065895: if a teacher plotted points on the board in which no three are collinear and her student came up with 45 lines ,how many points were on the board?

Click here to see answer by KMST(5328)

Question 1065679: Theorem 1.11 states that: (𝑛 choose 𝑟) = (𝑛 − 1 choose 𝑟) + (𝑛 − 1 choose 𝑟 − 1). Use factorials to prove this theorem.
Click here to see answer by ikleyn(52777)

Question 1065986: 11 people plan a trip and hire a minibus that exactly accommodate all of them. If only 5 of the eleven people can drive, in how many ways can they be seated?
Click here to see answer by Edwin McCravy(20054)

Question 1065678: a. How many distinguishable arrangements are there using the
letters from the word STATISTICS?
b. Let�s define a substring to be an arrangement with a specific
condition. Consider the substrings that contain the 3 T�s in a
row � for example SAISICSTTT, or TTTSASSICI would be two such
substrings. How many of the arrangements in part (a) contain
none of these substrings?
Click here to see answer by Edwin McCravy(20054)

Question 1065991: Call an integer dangerous if no two of its digits are equal and no digit is 2. Call an integer sexy if all its digits are odd. How many four-digit integers are either sexy or dangerous?
Click here to see answer by josmiceli(19441)

Question 1066053: Evaluate a^3 + 1/a^3 if a + 1/a = 6.
Click here to see answer by ikleyn(52777)

Question 1066053: Evaluate a^3 + 1/a^3 if a + 1/a = 6.
Click here to see answer by MathTherapy(10551)

Question 1066086: How many different sets of 5 cards each can be formed from a standard deck of 52 cards?
Click here to see answer by Alan3354(69443)

Question 1066085: If there are 7 distinct points on a plane with no three of which are collinear, how many different polygons can be possibly formed?
Click here to see answer by KMST(5328)

Question 1066225: Serial numbers for a product are to be made using
4
letters followed by
2
numbers. If the letters are to be taken from the first
5
letters of the alphabet with no repeats and the numbers are taken from the digits
0
through
9
with no repeats, how many serial numbers can be generated?
Click here to see answer by ikleyn(52777)

Question 1066088: In a 10-item Mathematics problem-solving test, how many ways can you select 5 problems to solve? How many ways can you select the 5 questions if you are required to answer question number 10?
Click here to see answer by swincher4391(1107)

Question 1066282: Please help me solve this.
Suppose 5 cards are dealt from a standard deck of 52 cards. How many unique 5-card hands are possible?
Click here to see answer by Alan3354(69443)

Question 1066282: Please help me solve this.
Suppose 5 cards are dealt from a standard deck of 52 cards. How many unique 5-card hands are possible?
Click here to see answer by ikleyn(52777)

Question 1066366: an employer interviews 8 people for 6 customer service positions in a company, 4 of the 8 people are women. if all 8 are qualified in how many ways can the employer fill the customer service positions if exactly are 3 women
Click here to see answer by ikleyn(52777)

Question 1066427: a coin is flipped 5 times. the coin comes up tails 3 times. what is the probability of the coin coming up tails?
Click here to see answer by Alan3354(69443)

Question 1066263: On a biology quiz, a student must match fourteen terms with their definitions. Assume that the same term cannot be used twice.
Click here to see answer by ikleyn(52777)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035