Tutors Answer Your Questions about Permutations (FREE)
Question 886527: Please help me solve this question :(
The following questions involve either bridge hands (13 cards) or poker hands (5 cards):
a) how many possible poker hands exist?
b) how many poker hands contain all Hearts?
c) how many poker hands contain at least one Ace?
d) how many possible bridge hands contain all spades OR all hearts?
e) how many bridge hands contain exactly 5 Hearts, 5 Diamonds, 2 Spades and one Club?
Click here to see answer by Edwin McCravy(20054)  |
Question 887262: Hi I really need help with these questions please.
1) How many different ways can 8 people be seated at a round table if there is a special arm chair?
2) There are 14 identical blocks in a childs toy box. Five of them are blue, two of them are red, five of them are green, one is orange and one is purple.
a) If a child takes them out of the box and puts them in one giant stack, how many ways can she do this?
- I tried 14C5 * 13 C2 * 12C5* 11C1 * 10C1 but that didn't work
b) If a child picks at least one of the blocks out of the box, how many different selections can she make?
3) When 3- digit area codes were introduced in 1947, the first digit had to be a number from 2 to 9, and the middle digit had to be either 0 or 1. The last digit has no restrictions. How many area codes were possible for 1947?
4) A code consists of two letters followed by three numbers. No repetition is allowed. How many different codes are available?
- I tried 4C2= 6 but I'm not sure of that is correct.
Click here to see answer by edjones(8007)  |
Question 887282: please let me know if my answer true or false
The student Engineers Council at a certain college has one student representative from each of the five engineering majors (civil, electrical, industrial, materials, and mechanical). In how many ways can
a) Both a council and a vice-president selected?
5 permutations 2 = 20 ways
b) A president, a vice-president, and a secretary selected?
5 permutations 3 = 60 ways
c) Two members selected for the President’s Council?
5 C 2 = 10 ways
Click here to see answer by Theo(13342)  |
Question 889388: When a group of students sits in rows of six
chairs, the last row has one empty chair. When
this same group sits in rows with seven chairs,
there is once again one empty chair. What is the
least number of students in this group?
Click here to see answer by stanbon(75887) |
Question 889464: How many 6-person line ups can be formed from 20-player volleyball roster, assuming every player can be assigned to any position?
Please help me find the right formula.
I have tried two different way but I think I,m thinking it to simple: like 20*6=120 and 120*6=720
Thank you for your help.
Click here to see answer by rothauserc(4718)  |
Question 889714: A teacher provides three special lessons, one in each Maths, Music, English and Science, for some children in her class. For the students in these special lessons:
a) There are exactly 3 children in each lesson
b) Each pair of students attends at least one special lesson together.
What is the largest number of students who can attend these special lessons?
Click here to see answer by richwmiller(17219)  |
Question 889733: 15 Tickets for a concert are given out randomly to a class with 20 students. No student is given more than 1 ticket.
i. find the number of ways in which this can be done.
There are 12 boys and 5 girls in the class. find the number of ways in which
i. 10 boys and 5 girls get the tickets.
ii. all the boys get the tickets.
Click here to see answer by stanbon(75887) |
Question 889794: A box contains 100 balls of different colours .28 red , 17 blue , 21 green , 10 white, 12 yellow, 12 black .the smallest number n such that any n balls drawn from the box Will contain atleast 15 balls of the same colour is ??
Options are 73, 77, 81, 85
Click here to see answer by richwmiller(17219)  |
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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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