1. How many five cards hand can be drawn (without replacement) from a standard d

Question

1. How many five cards hand can be drawn (without replacement) from a standard deck of 52 cards so that the hand contains two distinct pairs of cards and one dissimilar one?

2. How many integer solutions are there to the equation w+x+y+z=12 if the solutions are non-negative? positive?

3. How many four-letter words can be formed from the words:

a)ANOTHER

b)FLUFFY

c)WILLOW

4. How many ways can 15 indistingushable marbles be distributed into six distingushable bins if all bins must have at least one marble assigned to them?

5. Brian needs to put 12 distingushable school books away. 4 of them are science, 5 of them are math and the remaining 3 are computer books. How many ways can Brian arrange the book if:

a)All books are to be placed o a single shelf in any order?

b)All books of the same subject must be grouped together, all on one self?

c)Each book can be placed on any of 3 different shelves in any order?

d)All books of the same subject must be grouped together on a separate shelf, but each subject may be placed on any of the 3 shelves?

e)Each subject is on a different shelf and the books within each subject are arranged in alphabetical order?

Explanation / Answer

true

false

true

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