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CSC 2510: Exam 5 Study Guide questions with 100% correct answers
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CSC 2510: Exam 5 Study Guide questions with 100% correct answers
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CSC 2510: Exam 5 Study Guidequestions with 100% correct answers
How many different three-letter initials can people have? - correct answer ✔✔26 x 25 x 24
- There are 26 letters in the alphabet.
- Key-word: different
How many bit strings are there of length six or less, not counting the empty string? - correct answer
✔✔2^6 + 2^5 + 2^4 + 2^3 + 2^2 + 2^1
- bit-string 2^n
- Key-words: six or less, NOT including the empty string
How many positive integers between 1000 and 9999 inclusive
a) are divisible by 9?
b) are even?
c) have distinct digits?
d) are not divisible by 3?
e) are divisible by either 5 or 7?
f) are not divisible by either 5 or 7?
g) are divisible by 5 but not by 7?
h) are divisible by 5 and 7? - correct answer ✔✔a) floor function:
9000/9 = 1000
, - objective is to find the positive integers between 1000 and 9999 inclusive are divisible by 9
b) 4500 integers are even
9000/2 = 4500
- half are even, and half are odd numbers
c) 9 * 9 * 8 * 7 = 4536
- 1st number: cannot have 9, 2nd number can have 0 but not 9, 3rd number cannot have 0 or 9, 4th
number cannot have 0, 9, or 8
-key word: distinct
d) floor function:
9000/3 = 3000
- number of integers that are not divisible by 3 is 9000-3000 = 6000
e) floor functions:
9000/5 = 1800
9000/7 = 1285
1800 + 1285 = 3085
3085 - (9000/35) = 2829
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