Have a look at this.
You tell us why that works.
I quote a simple question as follows but having trouble getting to the suggested answer, kinda boring:
(i) Find the number of ways that a set of 10 different CDs can be shared between Dai and Evan if each receives an odd number of CDs.
ANS: 512
Need help on that, Thanks.
Have a look at this.
You tell us why that works.
That what I would understand by " the 10 CDs Shared between Dai and Evan in odd number of CDs" as two separate and odd selections of CDs that always add up to 10 CDs (complementary), each for Dai and Evan.
I found out these possible5 ways of combining the two selections as follows:
1.
2.
3. =
4.
5.
Therefore, Sum of all Outcomes =
There is a more systematic way to do this.
If you have a set of ten there are $2^{10}$ subsets of the set. Half have an even number of elements the other have odd number.
If Dai gets an odd number of elements then there are an odd number of elements are left for Evan.
$\dfrac{2^{10}}{2}=2^9=512$