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Difficult Math Problem #114 - Combinations

A group of 8 friends want to play doubles tennis. How many different ways can the group be divided into 4 teams of 2 people?

A. 420
B. 2520
C. 168
D. 90
E. 105


from diff math doc, ans coming when some ppl respond with explanations

by 800guy

Wed Apr 04, 2007 2:50 pm
Forum: Problem Solving
Topic: Difficult Math Problem #114 - Combinations
Replies: 12
Views: 3270

oa

here's the oa: The sum of digits of a multiple of 3 should be div by 3. for a 5 digit number to be div by 3, the sum of digits (given the digits here) can be only 12 or 15. For a sum of 12, the digits that can be used : 0,1,2,4,5 for a sum of 15: 1,2,3,4,5 Number of numbers from the first set = 4.4!...

by 800guy

Wed Apr 04, 2007 2:49 pm
Forum: Problem Solving
Topic: Difficult Math Problem #113 - Permutations
Replies: 4
Views: 2203

Difficult Math Problem #113 - Permutations

How many five digit numbers can be formed using the digits 0, 1, 2, 3, 4 and 5 which are divisible by 3, without repeating the digits?
(A) 15
(B) 96
(C) 216
(D) 120
(E) 180


from diff math doc, ans coming when peopple respond with explanations

by 800guy

Mon Apr 02, 2007 12:04 pm
Forum: Problem Solving
Topic: Difficult Math Problem #113 - Permutations
Replies: 4
Views: 2203

oa

oa:

C is correct.
The first place has 9 possibilities, since 0 is not to be counted. All others have 9 each, since you cannot have the digit, which is same as the preceding one.
Hence 9^5

by 800guy

Mon Apr 02, 2007 12:03 pm
Forum: Problem Solving
Topic: Difficult Math Problem #112 - Number Theory
Replies: 7
Views: 2440

Difficult Math Problem #112 - Number Theory

How many 5-digit positive integers exist where no two consecutive digits are the same?

A.) 9*9*8*7*6
B.) 9*9*8*8*8
C.) 9^5
D.) 9*8^4
E.) 10*9^4


oa coming when a few people respond with explanations. from difficult math doc.

by 800guy

Thu Mar 29, 2007 10:37 pm
Forum: Problem Solving
Topic: Difficult Math Problem #112 - Number Theory
Replies: 7
Views: 2440

oa

oa:

let’s assume Ben has already been chosen. Then I have to choose 3 more people from the remaining, excluding Kelly, that is, three from six people, that’s 6c3.
so the total is (1c1.6c3)/8c4 which is 2/7

by 800guy

Thu Mar 29, 2007 10:34 pm
Forum: Problem Solving
Topic: Difficult Math Problem #111 - Probability
Replies: 7
Views: 3216

Difficult Math Problem #111 - Probability

There are 8 members; among them are Kelly and Ben. A committee of 4 is to be chosen out of the 8. What is the probability that Ben is chosen to be in the committee and Kelly is not?

from diff math doc, oa coming when people respond with explantions

by 800guy

Mon Mar 19, 2007 9:44 am
Forum: Problem Solving
Topic: Difficult Math Problem #111 - Probability
Replies: 7
Views: 3216

OA

OA: Let the divisor be a. x = a*n + 11 ---- (1) y = a*m + 21 ----- (2) also given, (x+y) = a*p + 4 ------ (3) adding the first 2 equations. (x+y) = a*(n+m) + 32 ----- (4) equate 3 and 4. a*p + 4 = a*(n+m) + 32 or a*p + 4 = [a*(n+m) + 28] + 4 cancel 4 on both sides. u will end up with. a*p = a*(n+m) ...

by 800guy

Mon Mar 19, 2007 9:43 am
Forum: Problem Solving
Topic: Difficult Math Problem #110 - Arithmetic
Replies: 7
Views: 2438

Difficult Math Problem #110 - Arithmetic

Two different numbers when divided by the same divisor left remainders of 11 and 21 respectively. When the numbers' sum was divided by the same divisor, the remainder was 4. What was the divisor? A. 36 B. 28 C. 12 D. 9 E. None from diff math doc. answer coming when a some people respond with explan...

by 800guy

Fri Mar 16, 2007 9:00 am
Forum: Problem Solving
Topic: Difficult Math Problem #110 - Arithmetic
Replies: 7
Views: 2438

oa

here's the oa: 1000 - multiples of 2 and/or 5 multiples of 2 = 500 (all even #) multiples of 5 = (995 -5)/10 + 1 [ Using AP formula] = 100 Answer = 1000 - (500 + 100) = 400 You cannot calculate for all multiples of 5 because you have already removed all even integers (including 10, 20, and 30). The ...

by 800guy

Fri Mar 16, 2007 8:59 am
Forum: Problem Solving
Topic: Difficult Math Problem #109 - Number Theory
Replies: 2
Views: 2278

Re: Expert comments

Any expert comments if the clause is restrictive or non-restrictive ..pl? It's my understanding that clauses beginning with "that" are restrictive and should not be separated by a comma: http://www.ucalgary.ca/UofC/eduweb/grammar/course/punctuation/3_4c.htm thats how i understand it too

by 800guy

Wed Mar 14, 2007 10:00 am
Forum: Sentence Correction
Topic: When is it safe to use the word "that?"
Replies: 11
Views: 2930

Difficult Math Problem #109 - Number Theory

How many integers less than 1000 have no factors (other than 1) in common with 1000?

(1) 400
(2) 410
(3) 411
(4) 412
(5) None of the above


from diff math doc. oa coming after some people respond with explanations

by 800guy

Wed Mar 14, 2007 8:42 am
Forum: Problem Solving
Topic: Difficult Math Problem #109 - Number Theory
Replies: 2
Views: 2278
by 800guy

Wed Mar 14, 2007 8:41 am
Forum: Problem Solving
Topic: Difficult Math Problem #108 - Probability
Replies: 3
Views: 3559

oa

here's the oa from the doc: look at the conditions; it says that the first person who tosses a head wins. Let’s say A tosses first. what is the probability that he wins H + TTH + TTTTH + TTTTTTH + TTTTTTTTH i.e. either the first toss is head, or the first time A tosses the coin he gets a tail and B ...

by 800guy

Wed Mar 14, 2007 8:41 am
Forum: Problem Solving
Topic: Difficult Math Problem #108 - Probability
Replies: 3
Views: 3559

ash_maverick wrote:The Oa ur r talking abt is not right. That gives the summation of all the numbers in that series.

But here it is not asking asking about the summation of all the number in tht series. Just 2*98+14 should give the answer.
i think your right, ash. thanks!!

by 800guy

Tue Mar 13, 2007 11:25 am
Forum: Problem Solving
Topic: Difficult Math Problem #107 - Algebra
Replies: 7
Views: 2569