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

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Question 1130162: Using the digits 0,1,2,3,4,6 and 7. How many 3-digit even numbers between 200 and 600 can be made? What will be their sum?
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Question 1130797:
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Question 1130818: What is 35C2=
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Question 1130818: What is 35C2=
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Question 1130818: What is 35C2=
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Question 1130818: What is 35C2=
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Question 1131047: In a race with 10 horses, the first, second, and third place finishers are noted. How many
outcomes are there?

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Question 1131125: In a race in which twelve automobiles are entered and there are no​ ties, in how many ways can the first three finishers come​ in?

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Question 1131135: how many ways can a president, vice-president, treasurer, and secretary be chosen from a committee of 12 people?
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Question 1131134: how many ways can a 4 person subcommitte be selected from a committee of 12 people?
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Question 1131118: in how many ways can 10 people seated on a bench if only 5 are seats are available
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Question 1131153: Suppose that 5 thank-you notes are written and 5 envelopes are addressed. Accidentales, the notes are randomly inserted into the envelopes and mailed without checking the addressed. What is the probability that all the notes will be inserted into the correcto envelopes? Leave the probability as a fraction. Do not simplify the fraction.
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Question 1131152: A blood pressure test was given to 450 women ages 20 ton36. It showed that their mean systilic blood pressure was 118.0 mm HG, with a standard deviation of 12.9 mm Hg.
(A) Determine the z-score, to the nearest hundredth, for woman who had a systilic blood pressure trading of 114.1 mm Hg.
(B) The z-score for one woman was 2.18. What was her systilic blood pressure trading? (Round your answer to one decimal place.)

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Question 1131339:
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Question 1131475: You are taking a multiple-choice test that has 6 questions. Each of the questions has 4 answer choices, with one correct answer per question. If you select one of these choices for each question and leave nothing blank, in how many ways can you answer the questions?
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Question 875907: The number of possible sequences of all the hearts from a standard deck, given that the ace and king cannot be next to each other and that the 13 cards are dealt in a single row, is __________________.
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Question 1131564: I have 7 neckties, 3 shirts, and 2 vests. How many possible combinations are there?
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Question 1131671: Roy must elect 3 courses from among 3 courses in group I and 6 courses in group II. If he must take at least 1 of his 3 electives from each group, how many choices does he have?(Hint: First find how many choices he has if he elects only 1 course from group I. Then find how many choices he has if he elects 2 courses from group I. Since he must do one or the other of these, the final answer is the sum of the two answers.)
I think the answer is 36

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Question 1131671: Roy must elect 3 courses from among 3 courses in group I and 6 courses in group II. If he must take at least 1 of his 3 electives from each group, how many choices does he have?(Hint: First find how many choices he has if he elects only 1 course from group I. Then find how many choices he has if he elects 2 courses from group I. Since he must do one or the other of these, the final answer is the sum of the two answers.)
I think the answer is 36

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Question 1131701: How many possible distinct permutations using four of the letters in the word NIGERIA?
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Question 1131701: How many possible distinct permutations using four of the letters in the word NIGERIA?
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Question 1131719: out of 5 mathematician and 7 statistician a committee consisting of 2 mathematician and 3 statistician is to be formed.in how many ways this can be done if
A. there is no restriction?
B.one particular statistician should be included?
C.two particular mathematician cannot be included in the committee?

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Question 1131922: Eight people are to form two queues of four. In how many ways can this be done if:
a) there are no restrictions,
b) Jim will only stand in the left hand queue,
c) Sean and Liam must stand in the same queue?

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Question 1131955: From a pack of 9 cards numbered 1-9, three cards are drawn at random and laid on a table from left to right. What is the probability that the number formed exceeds 400?
I know the 1st digit has to be 4,5,6,7,8 or 9, but don't know how to calculate the no. of ways.

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Question 1131973: In how many ways can 7 children join hands to form a circle if they all face inward? In how many of these cases does child A jion hands with special friends B and C?
I am having trouble with the second part

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Question 1132010: Simply nC(n-1)
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Question 1132037: How many two-letter codes can be formed using the letters A, B, C, and D? Repeated letters are allowed.
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Question 1132038: How many different three-letter codes are there if only the letters A, B, C, D, and E can be used and no letter can be used more than once?
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Question 1132039: How many arrangements of answers are possible for a true/false test with 10 questions?
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Question 1132040: How many four-digit numbers can be formed using the digits 0,1,2,3,4,5,6,7,8, and 9 if the first digit cannot be 0? Repeated digits are allowed.
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Question 1132059: Please help me solve this question
Sum of all the 6 digit numbers that can be formed using the digits 0,0,1,2,3,4 with repetition not allowed. (Please note that zero appears twice which is giving trouble to me)

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Question 1132180: Mimi has eight books from the Statistics is Fun series. She plans on bringing two of the eight books with her in a road trip. (Show all work. Just the answer, without supporting work, will receive no credit).

(a) Does the order matter in the book selection?
(b) Based on your answer to part (a), should you use permutation or combination to find the number of the different ways the two books can be selected?
(c) How many different ways can the two books be selected?

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Question 1132180: Mimi has eight books from the Statistics is Fun series. She plans on bringing two of the eight books with her in a road trip. (Show all work. Just the answer, without supporting work, will receive no credit).

(a) Does the order matter in the book selection?
(b) Based on your answer to part (a), should you use permutation or combination to find the number of the different ways the two books can be selected?
(c) How many different ways can the two books be selected?

Click here to see answer by ikleyn(52779) About Me 

Question 1132271: License plates in a particular state display 3 letters followed by 3 numbers. How many different license plates can be manufactured for the state?
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Question 1132270: In a different plan for area codes, the first digit could be any number from 1 through 7, the second digit was either 1 or 2, and the third digit could be any number except 3, 6 or 7. With this plan, how many different area codes are possible?
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Question 1132270: In a different plan for area codes, the first digit could be any number from 1 through 7, the second digit was either 1 or 2, and the third digit could be any number except 3, 6 or 7. With this plan, how many different area codes are possible?
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Question 1132270: In a different plan for area codes, the first digit could be any number from 1 through 7, the second digit was either 1 or 2, and the third digit could be any number except 3, 6 or 7. With this plan, how many different area codes are possible?
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Question 1132412: A city council consists of five Democrats and six Republicans. If a committee of four people is​ selected, find the probability of selecting two Democrats and two Republicans. (Type a fraction. Simplify your answer.)
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Question 1132411: A box contains 1212 ​transistors, 33 of which are defective. If 33 are selected at​ random, find the probability that
a. All are defective. (Type a fraction. Simplify your answer.)
b. None are defective. (Type a fraction. Simplify your answer.)

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Question 1132415: A box contains 17 ​transistors, 4 of which are defective. If 4 are selected at​ random, find the probability that
a. All are defective. (Type a fraction. Simplify your​ answer.)
b. None are defective. ​(Type a fraction. Simplify your​ answer.)

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Question 1132416: A hand consists of 5 cards from a​ well-shuffled deck of 52 cards.
a. Find the total number of possible 5-card poker hands.
b. A heart flush is a 5-card hand consisting of all heart cards. Find the number of possible heart flushes.
c. Find the probability of being dealt a heart flush. (Round to six decimal places as needed.)

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Question 1132413: A hand consists of 5 cards from a​ well-shuffled deck of 52 cards.
a. Find the total number of possible 5-card poker hands.
b. A spade flush is a 5​-card hand consisting of all spade cards. Find the number of possible spade flushes.
c. Find the probability of being dealt a spade flush. (Round to six decimal places as needed.)

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Question 1132413: A hand consists of 5 cards from a​ well-shuffled deck of 52 cards.
a. Find the total number of possible 5-card poker hands.
b. A spade flush is a 5​-card hand consisting of all spade cards. Find the number of possible spade flushes.
c. Find the probability of being dealt a spade flush. (Round to six decimal places as needed.)

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Question 1132628: how many three-digit natural numbers greater than 330 can be formed from the digits 0,1,2,3,4,5 and 6 when each digit can be used only once?

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Question 1132666: In how many ways can 7 charms be placed in a bracelet which has no clasp?
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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