Combinatorics in CPP Prep Classes - Exercise 3-1

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12 Questions

How many choices are there when selecting 2 kings from a set of 3, where the king of spades is not included?

3

If a card selection contains the king of spades, how many choices are there for selecting the other king?

3

When selecting 3 spades excluding the king of spades from a set of 7, how many choices are there?

3

How many choices are there when selecting the remaining card that is neither a king nor a spade?

21

In total, how many possible selections are there when following the described card selection process?

1428

For forming a podium with 3 participants from a group of 20, how many choices are possible when order is not important?

1140

How many ways are there to arrange the books before the mathematics books?

10x4!9!

How many different card draws of 5 cards from 32 cards are possible with no order or repetition?

201376

To obtain 5 diamonds, how many ways are there to choose 5 cards out of 8 diamonds?

56

How many ways are there to choose 2 diamonds out of 8 and 3 spades out of 8?

1568

If we count the complement of the draws without kings, how many different draws are obtained?

103096

How many different draws include at least one king from a deck of 32 cards?

180180

Practice problems on combinatorics in CPP (Cours Particuliers Paris) prep classes. Explore the concepts of arranging books and cards, including permutations and combinations.

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