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Number for all nonnegative values

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Reference no: EM131053942

  1. Please if you could show the work for each problem and also if you could advise the theorem used to solved the problem.
  2. Does n2 + n +11 always represent a prime number for all nonnegative values of n?
  3. How many 5 sequences on {1,K,10} are there?
  4. How many 5 permutations on {1,K,10} are there?
  5. How many 5 permutations on {1,K,10} that begin with 2 are there?
  6. In MANYDOLLARS Lotto, a subset of 7 numbers is selected at random from {1,K, 52} as the winning numbers. Given that a particular lottery drawing results in the set {a, b, c, d , e, f , g} where the letters a, b, c, d, e, f, and g represent the seven winning numbers for this drawing,
    1. How many subsets of {1,K, 52} contain exactly one winning number?
    2. How many subsets of {1,K, 52} contain exactly two winning number?
    3. How many subsets of {1,K, 52} contain exactly five winning number?

Reference no: EM131053942

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