Tutors Answer Your Questions about Permutations (FREE)
Question 717581: From 5 statisticians and 6 economists, a committee consisting of 3 statisticians and 2 economists is to be formed. How many different committees can be formed if:
a. two particular statisticians must be in the committee?
b. one particular economist cannot be in the committee?
Click here to see answer by lynnlo(4176) |
Question 718179: Number of ways in which 8 students can be divided into 2 teams , that need not necessarily be of equal size.
Ans 127
My method
As 8 student is divided into 2 teams
Team A==============Team B
1 =============== 7 students===== 8C1*7C7 - equation(1)
2 =============== 6 students ===== 8C2 -(2)
3 =============== 5 students ===== 8C3 -(3)
4 =============== 4 students ===== 8C4 -(4)
5 =============== 3 students ===== 8C5 -(5)
6 =============== 2 students ===== 8C6 -(6)
7 =============== 1 student ===== 8C7 -(7)
Therefore no. of ways = (1)+(2)+(3)+(4)+(5)+(6)+(7)=252
But actual answer is the half of this answer.Can you tell me where I go wrong?
Click here to see answer by oscargut(2103)  |
Question 721071: Student Painters, which specializes in painting the exterior of residential buildings, has eight people available to be organized into six-person and two-person teams. In how many ways can the company organize the available people into six- or two-person teams?
Click here to see answer by stanbon(75887) |
Question 723673: seven performers A,B,C,D,E,F and G are to appear in a talent contest. the order of appearance is by random selection. find the probability of the following events:
a. C will perform first
b. F or G will perform first
c. they will appear in the order C,D,E,A,B,F,G
Click here to see answer by lynnlo(4176) |
Question 725623: A student planning her curriculum for the upcoming year must select one of seven business courses, one of three mathematics courses, two of eight elective courses, and either one of two history courses or one of three social science courses. How many different curricula are available for her consideration?
Click here to see answer by stanbon(75887) |
Question 725718: I'm trying to solve this question: A pizzeria offers 15 diffrent toppings. How many ways can a customer order 3 diffrent toppings. I attempted to use the counting principle 15!divided by (15-3)! but it didn't really make sense. Can you please explain it to me? I want to make sure I'm using the right formula.
Click here to see answer by Edwin McCravy(20054)  |
Question 726819: political polling organization wishes to select a smaller focus group from a group of of 7 Republicans, 3 Democrats, and 4 Independents. In how many ways can the group be chosen if:
a) it will consist of 4 Republicans and 3 Democrats?
b) it will consist of 2 Republicans, 2 Democrats, and 3 Independents?
Click here to see answer by stanbon(75887) |
Question 726821: A box contains 21 yellow, 28 green and 38 red jelly beans. If 14 jelly beans are selected at random, find each of the following probabilities.
a) The probability that 2 are yellow is: .
b) The probability that 2 are yellow and 11 are green is:
c) The probability that at least one is yellow is:
Click here to see answer by jim_thompson5910(35256) |
Question 726779: serial numbers assigned to calculators by a manufactur have as a first symbo one of the letters J, H, T to indicate the plant in which made, followed by one of the numbers 01, 02....12, to indicae the plant in which made, followed by four digits. how many different serial numbers are possible ?
Click here to see answer by checkley79(3341) |
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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
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