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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License. math exams: December 2012

Monday, December 31, 2012

Question 12/31/2012 10:06

What is the probability that the arrangement has both consecutive W's and consecutive Y's in WYSIWYG?

Ans. 0.0952

Wednesday, December 26, 2012

Question 12/26/2012 5:58

A group of students consists of 4 boys and 4 girls. How many ways are there to select 2 students of same sex from the group.

Ans. 12

Tuesday, December 25, 2012

Question 12/25/2012 2012 7:23

In how many ways may fifty-two cards be divided amongst tour players, so that each may have thirteen ?

Ans. $\frac{52!}{(13!)^4}$

Question 12/25/2012 6:57

In how many ways can three boys divide twelve oranges, each taking four, the oranges being all of different sizes ?

Ans. 34650

Question 12/25/2012 5:45

Four flags are to be hoisted on one mast, and there are twenty different flags to choose from : what choice have we ?

Ans. 116280

Question 12/25/2012 4:22

Probability of n Heads in 2n Tosses of a Coin?

Ans. $\frac{(2n)!}{{(n!)^2}{2^{(2n)}}}$

Monday, December 24, 2012

Question 12/24/2012 9:47

In how many ways can the following letters be divided between two persons :

a, a, a, a, b, b, b, c, c, d?

Ans. 118

Question 12/24/2012 9:37

In how many ways can six different things be divided into two parcels ?

Ans. 31

Question 12/24/2012 9:23

There are twenty candidates for an office, and seven electors. In how many ways can the votes be given ?

Ans. 1280000000

Question 24/12/2012 7:14

In how many ways can you arrange on a shelf 6 books out of 10 (distinct) books?

Ans. 151200

Question 12/24/2012 1:59

How many integers between 100 and 999 inclusive consist of distinct odd digits?

Ans. 60

Sunday, December 23, 2012

Question 11/23/2012 11:211

Suppose it is estimated that the chance that A can solve a certain problem is $\frac{2}{3}$ , and the chance that B can solve it is $\frac{5}{12}$ ;let us consider what is the chance of the problem being solved when they both try.

Ans.  $\frac{29}{36}$