help me in maths...:)

nikhil ((CA Final) Article) (363 Points)

16 April 2010  

1).The number of ways in which 12 students can be equally divided into three groups ?(combination chapter question and the answer is 5775 is given)

2).A committee of 3 ladies and 4 gents is to be formed out of 8 ladies and 7 gents.Mrs.x refuses to serve in a committee in which Mr.y is a member.The number of such committee is ?(combination chapter answer is 1540 is given )

3).The supreme court has given a 6 to 3 decision upholding a lower court;the number of ways it can give a majority decision reversing the lower court is ?(combination chapter answer is given 256 )

4).The total number of ways in which six 't' and four '-'signs can be arranged in a line such that no two '-'signs occur together is ?(permutation chapter answer is given 35 in book )

help me if u know the solution :)