Tutors Answer Your Questions about Permutations (FREE)
Question 1105063: Serial numbers for a product are to be made using 4 letters followed by 3 numbers. If the letters are to be taken from the first 6 letters of the alphabet with no repeats and the numbers are taken from the digits 0 through with no repeats, how many serial numbers can be generated?
Click here to see answer by Boreal(15235)   |
Question 1105195: each of the 100 students at a music school play at least one instrument, string, woodwind or brass. 70 play a string instrument, 49 woodwinds and 49 brasses. 20 plays both string and woodwind, 25 play string and brass, and 35 plays both woodwind and brass. How many play all three types of instrument?
Click here to see answer by ikleyn(52776)  |
Question 1104498: Five men and their five wives were invited to a graduation ceremony for high school students in the village where they live. In how many different ways can they sit on 10 chairs, in a straight line, so that the men sit next to each other, and the wives sit next to each other?
Click here to see answer by 41 years(2) |
Question 1105357: Help me please!
A bus starts with 6 people and stops at 10 different stops. How many different ways can the 6 people depart if;
A. Any passenger can depart at any bus stop.
B. No two passengers can depart at the same bus stop.
Click here to see answer by ikleyn(52776) |
Question 1105438: The seats at a round table are numbered from 1 to 7. Find the number of ways in which a commitee consisting of four men and three women can be seated at the table.
(a) if there are no restrictions
(b) if all men sit together
Click here to see answer by rothauserc(4718)  |
Question 1105507: The distribution of income (in minimum salaries) of the certain city population is given below:
(%): 54 | 23 | 10 | 5 | 8 |
Income range: (0-2] (2-4] (4-6] (6-10] (No statement]
Get a new income distribution, considering only the people who declare some income. From the distribution obtained by you, calculate:
a) The average income;
b) The proportion of people receiving up to 1.5 minimum wages.
c) The income range corresponding to the richest 10%.
Click here to see answer by Alan3354(69443)  |
Question 1105679: Postal codes in Canada have six characters, with the first, third, and fifth characters being letters, and the other characters being digits.
a)What is the maximum number of unique postal codes in Canada if the letters D, F, I, O, Q, and U are not used and neither W nor Z appears as a first character?
Answer: 18(10)(20)(10)(20)(10)= 7 200 000
b)How many of the postal codes described in part a) have the same letter repeated three times?
Click here to see answer by ikleyn(52776) |
Question 1106091: A school organization consists of 5 teachers, 7 parents and 6 students. A subcommittee of this group is formed by choosing 2 teachers, 3 parents and 3 students. How many different subcommittees can be formed?
Since there are 5 teachers, I think there are 10 different combinations of 2 teachers for the subcommittee.
Since there are 7 parents, I think there are 35 different combinations of 3 parents for the subcommittee.
Since there are 6 students, I think there are 20 different combinations of students for the subcommittee.
The above work was done writing out all the combinations, which is time consuming. What is the algebraic formula, factorials?
I don't know how to use the above information, that I hope is correct, to figure out the total combinations for the subcommittee without writing out all the combinations, which would be time consuming. What is the algebraic formula? Please show solution.
I saw an answer that showed {5C2}.{7C3}.{6C3}=How many subcommittees can be formed, but I don't know how to solve that problem, unless 210 is the correct answer by multiplying 5.7.6, but I don't think that is correct.
Thank you for any help you can provide to clarify my thoughts.
Many thanks,
Lisa Hart
Click here to see answer by ikleyn(52776) |
Question 1106229: Question 1.
A bus starts with 6 people and stops at 10 different stops.
How many different ways can the 6 people depart
A. If no two passengers can depart at the same bus stop.
B. If any paassenger can depart at any bus stop.
Question 2.
find all the the range of real number that satisfy the inequality 1 < x^2 < 4
Click here to see answer by ikleyn(52776) |
Question 1106228: David chooses numbers from two hats, one red and one blue. The red hat contains all even digits greater than zero, and the blue hat contains all odd digits greater than zero. The numbers picked are used to form fractions. The red number is the numerator, and the blue number is the denominator. What is the probability that David’s fraction will greater than 1/2 but less than 1?
Click here to see answer by greenestamps(13198)  |
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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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