Chapter 6: Q35E (page 406)
There are 38 different time periods during which classes at a university can be scheduled. If there are 677 different classes, how many different rooms will be needed?
The resultant answer is 18 classrooms.
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a) Explain how to find a formula for the number of ways to select robjects from nobjects when repetition is allowed and order does not matter.
b) How many ways are there to select a dozen objects from among objects of five different types if objects of the same type are indistinguishable?
c) How many ways are there to select a dozen objects from these five different types if there must be at least three objects of the first type?
d) How many ways are there to select a dozen objects from these five different types if there cannot be more than four objects of the first type?
e) How many ways are there to select a dozen objects from these five different types if there must be at least two objects of the first type, but no more than three objects of the second type?
Suppose that and are integers with . Prove the hexagon identity which relates terms in Pascal's triangle that form a hexagon.
How many permutations of {a,b,c,d,e,f,,g}end with a?
Explain how the sum and product rules can be used to find the number of bit strings with a length not exceeding 10 .
Show that and are logically equivalent
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