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</p> Signup and view all the answers

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

    <p>1428</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</p> Signup and view all the answers

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

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

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

    <p>180180</p> Signup and view all the answers

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