Combinatorics in CPP Prep Classes - Exercise 3-1
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Questions and Answers

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

  • 2
  • 5
  • 4
  • 3 (correct)

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

  • 2
  • 3 (correct)
  • 4
  • 1

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

  • 3 (correct)
  • 5
  • 2
  • 4

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

<p>21 (A)</p> Signup and view all the answers

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

<p>1428 (B)</p> Signup and view all the answers

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

<p>1140 (A)</p> Signup and view all the answers

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

<p>10x4!9! (D)</p> Signup and view all the answers

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

<p>201376 (C)</p> Signup and view all the answers

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

<p>56 (B)</p> Signup and view all the answers

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

<p>1568 (A)</p> Signup and view all the answers

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

<p>103096 (D)</p> Signup and view all the answers

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

<p>180180 (C)</p> Signup and view all the answers

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