calculating the numbers of possibilities that are possible from a vector?

Iam trying to calculate the "Basic blackjack strategy" with help from matlab.

What iam trying to do is taking some number from a vector for example:

A=11;
J=10;
D=10;
K=10;

A=[A A A A 2 2 2 2 3 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 9 9 9 9 10 10 10 10 J J J J D D D D K K K K];

A1=A(randi(numel(A))); %takes randomcard 1 from A

A2=A(randi(numel(A))); %takes randomcard 2 from A

A1+A2;

Lets say that A1=10, A2=3. This will give A1+A2=13, now i want to calculate how many possible hands there is to get a hand between(17-21)?

In other words i want to know how many variations of x drawn cards from vector A starting on 13 will give me a hand between 17-21?

Any smart way to make this happen in matlab?

Answer 1

[Matt J]

Hint: the nchoosek() command.