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Question 284329: A NEW TELEPHONE EXCHANGE IS STARTING WITH IN 614 AREA CODE. IF THE NEW EXCHANGE BEGINS WITH 598 FIND THE AMOUNT OF THE NUMBER POSSIBLE. ASSUME THAT DIGITS CAN REPEAT

Click here to see answer by richwmiller(17219)

Question 284388: In how many different ways can any 4 of the letters in the following word be arranged?
CHAIRS
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Question 285067: How many different 4 digit vehicle
number plates can be made if the
first digit must not be 6 and no
digits may be repeated?
Click here to see answer by stanbon(75887)

Question 285006: how many different 3-letter passwords are possible if no letter can be repeated?
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Question 285154: suppose a license plate contains 2 letters followed by four digits,with the first digit is not zero.How many different license plates can be printed?
Click here to see answer by rfer(16322)

Question 285427: European car licenses have 1 letter, 3 numbers, and 3 letters. [x ooo xxx] How many different combinations are there?
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Question 285587: 2x^2-5x+1
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Question 285712: can anyone help me with these questions?
1-Professor R flips a fair coin twice. Professor G flips a fair coin three times.
What is the probability that Professor R obtains more heads than Professor G?

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Question 285734: find the sum of all the four digit number that can be obtained by using the digits 1,2,3,4 once in each.
Click here to see answer by Edwin McCravy(20054)

Question 285733: how many cards must you pick up from a standard 52 card deck to be sure of getting at least one red card.
Click here to see answer by toidayma(44)

Question 285761: how many positive integers less than or equal to 70,are relatively prime 70?
Click here to see answer by nabla(475)

Question 286073: how many ways are there to choose 8 coins from pile containing 100 identical pennies and 80 identical nickels???
Click here to see answer by Edwin McCravy(20054)

Question 286072: 4 dice are to be tossed. how many different outcomes are posible if the order does not matter??
Click here to see answer by rfer(16322)

Question 286290: Please help me solve:

In how many different ways can a mother distribute three different toys among her seven children if a child may receive anywhere from 0 to 3 of the toys?
Click here to see answer by richwmiller(17219)

Question 286162: A student takes a true-false test consisting of 13 questions. Assuming that the student guesses at each question, find the probability that the student answers exactly 11 questions correctly.
Click here to see answer by edjones(8007)

Question 286819: A freight train is going to carry four tankers, six coal cars, and ten lumber cars. How many different arrangements of cars are possible?
Click here to see answer by richwmiller(17219)

Question 286843: If six cards are chosen without replacement from a standard
deck, how many hands are possible if
1. The six cards can be anything?
2. At least one card is an ace?
3. At least four are clubs?
4. Exactly three of the cards are hearts?
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Question 287220: There are 4 boys and 3 girls. What is the probability the boys and girls sit alternately?
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Question 287420: How many different 5-digit codes can be made using the 10 digits if repetition is permitted?
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Question 287846: A club consists of five members : {Andre,Beatrice,Claude,Denis,Edith}. How many ways can a president and a secretary be elected if the same person cannot hold both jobs?
A 5 B 10 C 20 D 25 E none of these
Click here to see answer by dabanfield(803)

Question 287818: A pin code is a sequence of four numbers, each digit can repeat itself. how many combinations for the code are possible?
Click here to see answer by rfer(16322)

Question 288053: Four tennis players enter a tournament. How many different ways can the pairings be made for the first round games?
(A) 3 (B) 6 (C) 8 (D) 12 (E) 24
Click here to see answer by amnd(23)

Question 288567: a sample of 80 car owners revealed that 24 owned station wagons and 62 owned cars which are not station wagons find the number k of people who owned both a station wagon and some other car?
Click here to see answer by Theo(13342)

Question 288580: how many different combinations of stamps can you use for an exact postage on a package that requires $4.95 of stamps if you only have $0.45 and $0.20 stamps ?
a 1 b 2 c 3 d 4 e 5
Click here to see answer by Theo(13342)

Question 288705: suppose they are 10 questions on a true false test. what is the probability the person will get all answers correct. without reading them. thank you for the help
Click here to see answer by checkley77(12844)

Question 288815: a computer with an old processor locks up if more than4 applications run simultaneously.if the oner has 20 applications storedin his program file,how many different sets of 4 can he run,so that his computer does not lock up?
Click here to see answer by brucewill(101)

Question 289549: In how many ways can five students be seated in a row of five seats?
Click here to see answer by CharlesG2(834)

Question 290098: In a multiple choice test, there are 5 questions and 4 choices of A, B, C or D. How many ways are there of answering without picking the same answer for 2 consecutive answers?

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Question 290138: Using the word Comedic, what are the chances of forming a word that begins with a vowel?
Click here to see answer by bcampbell23669(14)

Question 290227: evaluate 7! please help thank you
Click here to see answer by Deina(147)

Question 290370: the permutation of 15 things taken 5 at at time?
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Question 290369: Determine the number of combinations of 15 things taken 5 at a time
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Question 290476: Respected Sir,
Can you explain with proper formula that how to count maximum possibilities of 8 different planets' situation in 12 different signs?
I know that the "formula" for the number of distinct configurations of P planets in S signs is S^P where ^ means "raised to the power of".
So, for 8 planets and 12 signs, the number of possible configurations is:
12^8, or 12*12*12*12*12*12*12*12, or 429,981,696
But
Mercury and Venus is always with the Sun. Mercury can be far maximum 1 sign before or after the Sun. Venus can be far maximum 2 Sign before or after the Sun.
Eg.
If sun is in sign 6,
Moon can be in Sign 1, Sign 2, Sign 3, Sign 4, Sign 5, Sign 6, Sign 7, Sign 8, Sign 9, Sign 10, Sign 11 or in Sign 12.
Same way, Mars, Jupiter, Saturn and Node can be far upto 12 signs from the Sun.
But in case of Mercury and Venus,
If sun is in sign 6,
Mercury and Venus cannot be in certain signs.
Mercury can be only in Sign 5, Sign 6 or in Sign 7. (Can be one sign away from Sun)
Venus can be only in Sign 4, Sign 5, Sign 6, Sign 7 or Sign 8. (Can be Two signs away from the Sun)
So we have to reduce some configurations among 429,981,696. What to do?
Can we use nCr or nPr to find out the number of configurations that we have to reduce from 429,981,696 or this can be done with the help of any other formula?
I hope you will give me the final-maximum-last Number of possible ways of planetary positions in twelve signs WITH EXPLANATION
.
Thank You

Click here to see answer by richwmiller(17219)

Question 290459: A boy's outfit consists of slacks, shirt, and shoes. He does not want to wear the same combination on any two days of the year. Presuming that he has the same number of slacks, shirts, and pairs of shoes, what is the minimum number of each that he will need?
(a) 3 (b) 6 (c) 7 (d) 8 (e) 9

Click here to see answer by richwmiller(17219)

Question 290707: there are 10 women and 8 men in a club. how many different committees of six people can be selected from the group if equal numbers of men and women are to be on the committee. thank you for the help
Click here to see answer by richwmiller(17219)

Question 291104: a company has 12 members on its board. in how many ddifferent ways can it elect a chairman, vice president, secretary and a treasurer?
Click here to see answer by brucewill(101)

Question 291354: The debate club has 15 members, but only 5 can compete at the next meet. How many 5 person teams are possible?

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Question 291504: how many combinations can be made on a 30 question true and false test
Click here to see answer by edjones(8007)

Question 292038: Four children Alice, Brad, Cathy and Dan are arranged in a line. If Brad and Cathy cannot be next to each other, in how many ways can the kids be arranged?
A) 6 (B) 12 (C) 14 (D) 16 (E) 24

Click here to see answer by richwmiller(17219)

Question 292651: An amusement park has 20 rides. You want to ride at least 15 of them. How many different combinations of rides can you go on?
Click here to see answer by lyndseid(1)

Question 292795: How many different license plates can be made using 2 letters followed by 5 digits selected from the digits 0 through 9, if digits may be repeated but letters may not be repeated?
Click here to see answer by Edwin McCravy(20054)

Question 293172: from 4 apples, 2 bananas and 3 coconuts, how amny selextions of fruits can be made taking at least one of each kind?
Click here to see answer by richwmiller(17219)

Question 293160: Four children Alice, Brad, Cathy and Dan are arranged in a line. If Brad and Cathy cannot be next to each other, in how many ways can the kids be arranged?
A) 6 (B) 12 (C) 14 (D) 16 (E) 24
Click here to see answer by richwmiller(17219)

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