Hi everyone,

Would really appreciate some help for these questions, could use a pointer in the right direction;

- How many different bridge hands are there which contain 5 clubs, 4 diamonds, 3 hearts and 1 spade?
- How many different bridge hands which contain 5, 4, 3 and 1 card in the four suits in any order?
- The probability of a bridge hand (13 cards) not containing any card of a suit?
- How many ways three distinct numbers can be chosen from {1,2,3,4,5,6,7,8,9,10} so that no two are consecutive?
- How many ways in the range 1 - 1million are perfect squares, or divisible by 4 or 7?

Also if anybody could explain why f(x,y)=x^2+y^2+5 can be represented primitive recursively by SSSSS(A(M(x,x),M(y,y)) that'd be great!

Thanks!