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1. If a function f is of order ? (n) and a function g is of order n, then the order of f g is order ? (n
2)
a. True
b. False
2. If a function f(n) = n + log(n) then the order of f is
a. N
b. n2
c. nlog(n)
d. log(n)
3. The merge sort of a list of numbers is more efficient than a bubble sort because
a. The bubble sort is of order n3
b. The merge sort is of order n
c. The merge sort is of order log n
d. None of the above
4. Given the function f(x) = x2 + 3x 5log2(x) the order of f is
a. N
b. n2
c. log2(n)
d. n2log2(n)
5. The linear search of a list of numbers is more efficient than a binary search because
a. The binary search is of order n2
b. The linear search is of order n
c. The binary search is of order n log n
d. None of the above
6. The number of ways 3 Olympic swimmers can be selected from 12 candidates is
a. 3!
b. 12!
c. 220
d. 12!/(12 3)!
7. A game of chance has you circle 3 numbers from a grid that is 5 by 5. The number of ways
that you can do this is
a. 25!
b. 25!/(25 5)!
c. 25!/5!(5 3)!
d. None of the above
8. The number of permutations of the 26 letters a z, in which you will find the pattern w e n d y
is
a. 10!
b. 22!
c. 18!
d. 27!/(27 5)!
9. If a function g(n) = n! then the order of g is less than the order of
a. n4
b. 2n
c. n log n
d. nn
Solution
false N B C A D C D D

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1. If a function f is of order (n) and a function g is of order n,.pdf

  • 1. 1. If a function f is of order ? (n) and a function g is of order n, then the order of f g is order ? (n 2) a. True b. False 2. If a function f(n) = n + log(n) then the order of f is a. N b. n2 c. nlog(n) d. log(n) 3. The merge sort of a list of numbers is more efficient than a bubble sort because a. The bubble sort is of order n3 b. The merge sort is of order n c. The merge sort is of order log n d. None of the above 4. Given the function f(x) = x2 + 3x 5log2(x) the order of f is a. N b. n2 c. log2(n) d. n2log2(n) 5. The linear search of a list of numbers is more efficient than a binary search because a. The binary search is of order n2 b. The linear search is of order n c. The binary search is of order n log n d. None of the above 6. The number of ways 3 Olympic swimmers can be selected from 12 candidates is a. 3! b. 12! c. 220 d. 12!/(12 3)!
  • 2. 7. A game of chance has you circle 3 numbers from a grid that is 5 by 5. The number of ways that you can do this is a. 25! b. 25!/(25 5)! c. 25!/5!(5 3)! d. None of the above 8. The number of permutations of the 26 letters a z, in which you will find the pattern w e n d y is a. 10! b. 22! c. 18! d. 27!/(27 5)! 9. If a function g(n) = n! then the order of g is less than the order of a. n4 b. 2n c. n log n d. nn Solution false N B C A D C D D