A student is asked to make up a 6 digit number by arranging the digits 111223. What is the probability that he will pick a number that has the 2's separated?

Total number of arrangements = 6!/(3!2!)

= 60

No of ways where the 2's are together
= 5!/3!
= 20

so the number of ways the 2's are apart
= 40

so the Prob(the 2's are separated) = 40/60
= 2/3

Thanks. =)

find the following sets

A'
B'
AuB'
(AuB)'

describe the following sets in words:

B u C
A u B
A n C
A u(B n C)

a coin is tossed 8 times. caluclate the problitlty of tossing

6 heads and 2 tails
7 heads and 1 tails
and at least 6 heads

Does interchanging the independant and dependant variables change the correlation coefficient for the set of data

suppose the odds of the tronto maple leafs winning the stanley cup are 2;13. what are the odds in favour of either tronto or montreal winning the stanley cup?

No it does not change the correlation and coeddicient for the set of data because they are meant to correspond from one another.

what is data management

10 people are to be seated at a rectangular table for dinner. Tanya will sit at the head of the table. Henry must not sit beside either Wilson or Nancy. In how many ways can the people be seated for dinner?