Tutors Answer Your Questions about Permutations (FREE)
Question 263649: A used car dealer estimates that 65% of the company's sales will occur on Thursday, Friday or Saturday. Using this estimate, how many cars out of the 80 sold last month were sold on Thursday, Friday or Saturday?
Click here to see answer by rfer(12644)  |
Question 265935: Enclosing the Most Area with a Fence. A farmer with 4000 meters of fencing wants to enclose a rectangular plot that borders a river, what is the largest area tha can be enclosed? (see figure)
river
x{ plot }x
__________
4000-2x
Click here to see answer by checkley77(12569) |
Question 266134: If five card hands are dealt at random from an ordinary deck of 52 playing cards. The instructor asked a) how many hands are possible. I figured that as being 2,598,960 hands possible using combination formula. b) how many hands are possible that contain only red cards? c) how many hands are possible that contain only spades? I'm pretty sure I can figure out c by knowing how to compute b. Can you help?
Click here to see answer by josmiceli(9645)  |
Question 266419: Kurt, yoel, Jason, Elana and Sara are studying together for a Finite Test. They decide to get a snack. Each is allowed to take one snack item. In how many different ways can the snacks be distributed if there are 6 apples, 5 oranges, 4 pieces of cherry, and 3 blueberry muffins?
Click here to see answer by checkley77(12569) |
Question 266712: The town that I live in has the type of facility that produces license plates. Assume that all license plates are required to have the following format: LLNNNL, where “L” stands for a capital letter and “N” stands for a single digit number (0 through 9). How many unique license plates can be produced by the facility in my town?
Click here to see answer by Alan3354(30945)  |
Question 269228: You wish to split the numbers [1,2,3,4,5,6,7,8] into two sets of 4 numbers, such that the following 2 conditions are satisfied.
• The sums of the numbers in both sets are equal
• The sums of the squares of the numbers in both sets are equal
I have found the two sets of nymbers [1,4,6,7] and [2,3,5,8] but i cannot find a relationship between the sets that will enable me to split the original list.
Help please !!
Click here to see answer by dabanfield(803) |
Question 271307: If you have a 30 digit number and 0-9 are represented equally so there are three of each number how would you calculate how many permutations there are with no repeats so for example: aaabbc if this was a permutation and you were listing all the permutations you wouldn't want to list representations of all three a's at the beginning. so instead of listing aaabbc aaabbc aaabbc you would only list it once. How would you calculate this for the example given at the beginning and how would you calculate it so that 0 wouldn't have been in the first position. So like if you had a 5 digit number 01234 wouldn't happen. I know how to do permutations, so for a 30 digit number it would be 30!, but with these added rules I am having a hard time. Thank you for your time.
Click here to see answer by stanbon(57214) |
Question 272230: 3 single men, 2 single women and 2 families each consisting of 2 parents and 1 child are to be seated at a round table. how many different seating arrangements are there if the families were to sit together and the women must be seperated?
Click here to see answer by coolcat1998(1) |
Question 272662: A computer password consist of six characters.The first two must be lower case letters and the remaining four can be either digits or lower case letters. how many different passwords are possible?
Click here to see answer by Theo(3458)  |
Question 274302: Aji has an argument with his daughter. She says, "you do the same thing every day." Aji does fishing every day but contends that every day is different because he does things in a different order each day.
Before he leaves shore in his row boat,
3 things
he gets fresh bait, checks the weather, and adjusts his seat cushion.
Out in the water,
4 things
he eats his fruit, puts meat on his sandwich, drinks his apple juice, and eats his sandwich.
Back at shore,
3 things
after tying his boat to the dock, he puts up the fishing pole in his right hand and the ice chest in his left hand.
Then he finally heads back home to have the same argument with his daughter. For how many days could Aji do things in a different order before he has to repeat the order of some prior day?
Click here to see answer by richwmiller(9135)  |
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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
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