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Question 477739: Hi, could you please advise where to start on the following question...
How many different ways can a gardener who has five (identical) red flowers, 3 (identical) pink flowers and 2 (identical) white flowers plant all the flowers in a row?
Thanks in advance
Click here to see answer by Theo(13342)

Question 477451: Dear math teacher,
I am having difficulties solving the following problem (#92b)in the fastest and least time consuming way. I got the result but when I tried the second method, my answers did not match. Would you please explain why?
Here is the problem:
"91. From 5 physicists, 4 chemists and 3 mathematicians a committee of 6 is to be chosen so as to include 3 physicists, 2 chemists and 1 mathematician. In how many ways can this be done?"
"92. In problem 91, in how many ways can the committee of 6 be chosen so that
a) 2 members of the committee are mathematicians,
b) at least 3 members of the committee are physicists?
P Chem Math
n 5 4 3
r 3
4
5
_____________________
3 3 3 thus, 5C3 times 4C3 times 3C0 = 10.4.1 = 40
3 0 3 5C3.4C0.3C3 = 10.1.1 = 10
3 1 2 5C3.4C1.3C2 = 10.4.3 = 120
3 2 1 5C3.4C2.3C1 = 10.6.3 = 180
Total = 350
______________________________________________________________
4 2 0 5C4.4C2.3C0 = 30
4 0 2 5C4.4C0.3C2 = 15
4 1 1 5C4.4C1.3C1 = 60
Total = 105
______________________________________________________________
5 1 0 5C5.4C1.3C0 = 1.4.1 = 4
5 0 1 5C5.4C0.3C1 = 1.1.3 = 3
Total = 7
______________________________________________________________
350 + 105 + 7 = 462
_______
_______
_______
Now method 2:
Total # of ways to select committee of 6 out of 12 =
12C6 = 924 ways
Non-physicists can be selected in 12-5C6 ways = 7!/(7-6)!6! = 7 ways
I am not really sure how to continue solving this using this method. How can you correct me? Please let me know.
Thank you very much.
Yours sincerely,

Ivanka
Click here to see answer by sudhanshu_kmr(1152)

Question 478002: How many first-second-third place finishes are there possible, if eleven people are competing in a sack race?
Click here to see answer by stanbon(75887)

Question 478087: How many distinguishable permutations are there of the letters in the "MISSISSIPPI "?
Click here to see answer by robertb(5830)

Question 478404: Dear math teacher,
I am having difficulties with the following problem.
How many baseball nines can be chosen from 13 candidates if A, B, C, D are the only candidates for two positions and can play no other position?
I think I need to select 9 canditates from 13 but I also have 4 candidates (A, B, C, D) for 2 positions. If A, B, C, D can play no othe position but can fill only 2 positions,
13C9 times 4P2 = 8580 selections but my answer is supposed to be only 216. Where did I make a mistake?
Thank you for your time.

Ivanka
Click here to see answer by Theo(13342)

Question 478637: How many different combinations of two people can you have with two people
Click here to see answer by Alan3354(69443)

Question 478637: How many different combinations of two people can you have with two people
Click here to see answer by solver91311(24713)

Question 478715: Hi, I am 9 years old and don't know how to answer this maths question
I don't know how to go about solving it.
These are the four two-digit numbers that can be made with the digits 1 and 7.
11 17 71 77
How many three-digit numbers can be made with the digits 1, 2 and 3?
Thank you
Thomas
Click here to see answer by mananth(16946)

Question 478770: If a student can answer any 6 questions from an exam with 10 questions, how many ways can he answer the exam?
Click here to see answer by Tatiana_Stebko(1539)

Question 478907: Mr. Larsen's third grade class has 22 students, 12 girls and 10 boys. Two students must be selected
at random to be in the fall play. What is the probability that no boys will be chosen? Order is not
important.
Click here to see answer by stanbon(75887)

Question 478995: how many four digit numbers can you get from 0 - 9 and what are all the outcomes
please take your time
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Question 479358: I don't understand how to solve this question? This is permutarions.
How many ways can we pick a 6 letter "word" from the word HOKIES?
Click here to see answer by Alan3354(69443)

Question 479545: I think I have a simple combination problem here but I am not sure. It says..Ten people board an airplane that has 12 aisle seats. In how many ways cant they be seated if they all select aisle seats?
I think I would figure it like this > 12C10. Would that be correct?
Thank you for your time.
Click here to see answer by Tatiana_Stebko(1539)

Question 479635: The edge of a cube is 3cm, its total surface is_____?
Click here to see answer by mananth(16946)

Question 479735: n-4c4=15 Find n

Click here to see answer by Tatiana_Stebko(1539)

Question 479742: ncr=220 and npr=1320 find n and r
Click here to see answer by edjones(8007)

Question 479834: Question 1: A typical Social Security number is 555-47-5593. How many Social Security numbers are possible if the first two digits cannot be 0?
Click here to see answer by aprylk25(2)

Question 480306: A typical Social Security number is 555-47-5593. How many Social Security numbers are possible if the first two digits cannot be 0?

Click here to see answer by Alan3354(69443)

Question 480308: How many skirt-blouse outfits can a woman wear if she has four skirts and six blouses
Click here to see answer by stanbon(75887)

Question 480308: How many skirt-blouse outfits can a woman wear if she has four skirts and six blouses
Click here to see answer by solver91311(24713)

Question 480305: A student is asked to answer 8 out of 11 questions. In how many ways can she select the questions to be answered
Click here to see answer by stanbon(75887)

Question 480412: A typical Social Security number is 555-47-5593. How many Social Security numbers are possible if the first two digits cannot be 0?
This is very hard to understand.Can i get someone to help me with it please? Thanks!
Click here to see answer by MathLover1(20849)

Question 480484: how many distinct lines can be drawn through 15 point no 3 of with are in the same straight line?
Click here to see answer by Edwin McCravy(20055)

Question 480563: in how many ways can five books be arrange on a bookshelf?

nPr= n!
_____
(n-r)! n=5
r=5 5P5= 5!
___
(5-5)!= 5!
__ = 5!
___ what do I do after this please explain
0! 1

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Question 480567: There are five boys and four girls in a club. If a president and Vice-President are to be chosen, what is the probability that a boy is chosen as President and a girl is chosen asVice-President
Click here to see answer by solver91311(24713)

Question 480573: A TYPICAL SOCIAL SECURITY NUMBER IS 555-47-5593. HOW MANY SOCIAL SECURITY NUMBERS ARE POSSIBLE IF THE FIRST TWO DIGITS CANNOT BE 0?
Click here to see answer by solver91311(24713)

Question 480549: A letter is known to have come from London or Clifton. On the postmark, only consecutive letters "on" are legible. The probability that it came from London is ?
Click here to see answer by Edwin McCravy(20055)

Question 480580: What is the total number of license plates possible using this counting scheme? (Assume that each available space is occupied by a numeral, letter, symbol, or space. Give the answer in scientific notation. Round the first number to two decimal places.)
Click here to see answer by solver91311(24713)

Question 480570: If there are 4 brown, 4 blue, and 4 black socks in a drawer, what is the probability that if two socks are selected, a matched set will be chosen?
Click here to see answer by Alan3354(69443)

Question 480557: HOW MANY PERMUTATIONS ARE THERE OF THE FOLLOWING WORD.
M n1 MATHEMATICS 11 LETTERS n=11
A n2
T n3
H n4
E n5
M n6 ( 11 ) 11!
C n7 _____
T n8 ( 2,2,2,1,1,1,1,1 )= 2!2!2!1!1!1!1!1! now the question is what
I n9 do I do after this?
C n10 PLEASE SOMEONE EXPLAIN TO
S n11 ME STEP BY STEP:: THANKS
Click here to see answer by Theo(13342)

Question 480765: club consists of 16 men and 19 women. In how many ways can they choose a president, vice president, treasurer, and secretary, along with an advisory committee of six people? (Round the answer to five decimal places.)

Click here to see answer by stanbon(75887)

Question 480951: There are 80 students. 50 are enginering majors. 10 are accounting majors, 3 are both engineering and accounting, and 7 that are both accounting and chemistry, and 1 that is both engineering and chemistry. Draw a Venn diagram
Click here to see answer by ewatrrr(24785)

Question 480997: How many skirt and blouse outfits can a woman wear if she has four skirts and six blouses?
Click here to see answer by stanbon(75887)

Question 480986: If a club has 13 members, how many ways can a board of 3 officers be chosen
Click here to see answer by ewatrrr(24785)

Question 481067: A student is asked to answer 8 out 12 questions on an exam. In how many ways can she select the questions to be answered
Click here to see answer by jorel1380(3719)

Question 481077: there are 20 people in the room and i need to make a committee of 6 of them. each member is equal. in how many ways can this be done?
Click here to see answer by stanbon(75887)

Question 481076: A club with 27 members is to select five officers:President, Vice President, Secretary,Treasurer, and Historian. In how many ways can this be done?
Click here to see answer by stanbon(75887)

Question 481157: Evaluate the expression (10/4)(5/4)(4/1)
Click here to see answer by ewatrrr(24785)

Question 481100: A student is asked to answer 10 out of 13 questions on an exam. In how many ways can she select the questions to be answered?
Click here to see answer by ewatrrr(24785)

Question 481167: In how many ways can 6 people made to stand in a line ?
Click here to see answer by ewatrrr(24785)

Question 481291: How many permutations are there of the following word.
MATHEMATICS

Click here to see answer by jorel1380(3719)

Question 481312: Many states offer personalized license plates. California, for example allows personalized plates with seven spaces for numerals or letter, or one of four symbols. What is the total number of license plates possible using this counting scheme? (assume that each available space is occupied by numeral, letter, symbol, or space. Give the answer in scientific notation, round the first number to two decimal places.
Click here to see answer by Alan3354(69443)

Question 481431: How many even 4-digit numbers can be made using 0, 2, 3, 5, 6, 9 if no repeats are allowed?
Click here to see answer by kingme18(98)

Question 481500: A certain class has 6 girls and 5 boys. Four of
these students are to line up in the front of the
room, with two girls on either end and two boys
in between. How many such arrangements are
possible?
Click here to see answer by jorel1380(3719)

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