Ah ok, thanks. I was thinking order mattered and all, but now its clear order doesn't matter. There is only one way to choose the two birds. Then the 3rd combination is the combinations with the other 5 birds. Thanks a bunch for clearing it up.
Homework Statement
You have 7 birds lined up to feed. Only 3 birds can feed at a time. Two of the 7 birds do not like to feed with each other. How many combinaions can be formed?Homework Equations
C(n,k)=n!/k!(n-k)!The Attempt at a Solution
Attempted solution
C(7,3)-C(7,2)=21.
That is the...
Homework Statement
(a) Use induction to show that if n(A) = n then n(P(A)) = 2^n.
n(A) is the cardinality of set A.
P(A) is the power set of A.Homework Equations
The answer is
We apply induction to prove the claim.
If n = 0 then A = null and in this case P(A) = {null}. Thus n(P(A)) = 1 =...
I'm pretty sure this is Newton's Law of Cooling. The problem states that the change in temperature(derivative) is proportional(C) to the difference between the two temps(TempCoffee-20).
So the equation would look like Change in Temp=(Proportional Constant)X(Difference in temperature).
From...