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Applied Math 40S February 29, 2008

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Darren Kuropatwa
Darren Kuropatwa

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Permutations of Non-Distinguishable Objects ... like twins. ;-) My Lovely Twins
HOMEWORK (a) How many different 4 digit numbers are there in which all the digits are different? (b) How many of these numbers are odd? (c) How many of these numbers are divisable by 5?
HOMEWORK (a) How many 3-digit numbers can be formed if no digit is used more than twice in the same number? (b) How many of these numbers are odd? (c) How many of these numbers are divisable by 5?
HOMEWORK (a) How many 3-digit numbers can be formed if no digit is used more than twice in the same number? (c) How many of these numbers are divisable by 5?
HOMEWORK In how many ways can 8 books be arranged on a shelf, if 3 particular books must be together?
HOMEWORK (a) In how many ways can 4 English books and 3 French books be arranged in a row on a shelf? (b) In how many of these ways will the French books be together?

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Applied Math 40S February 29, 2008

  • 1. Permutations of Non-Distinguishable Objects ... like twins. ;-) My Lovely Twins
  • 2.
  • 3.
  • 4.
  • 5. HOMEWORK (a) How many different 4 digit numbers are there in which all the digits are different? (b) How many of these numbers are odd? (c) How many of these numbers are divisable by 5?
  • 6. HOMEWORK (a) How many 3-digit numbers can be formed if no digit is used more than twice in the same number? (b) How many of these numbers are odd? (c) How many of these numbers are divisable by 5?
  • 7. HOMEWORK (a) How many 3-digit numbers can be formed if no digit is used more than twice in the same number? (c) How many of these numbers are divisable by 5?
  • 8. HOMEWORK In how many ways can 8 books be arranged on a shelf, if 3 particular books must be together?
  • 9. HOMEWORK (a) In how many ways can 4 English books and 3 French books be arranged in a row on a shelf? (b) In how many of these ways will the French books be together?