Chapter 6: Q14E (page 413)
In how many ways can a set of two positive integers less than 100be chosen?
There are 4851 ways can a set of two positive integers less than 100 be chosen.
Over 30 million students worldwide already upgrade their learning with Vaia!
All the tools & learning materials you need for study success - in one app.
Get started for free
How many bit strings of length \({\rm{10}}\) over the alphabet \({\rm{\{ a,b,c\} }}\) have either exactly three \({\rm{a}}\)s or exactly four \({\rm{b}}\)s?
A coin is flipped times where each flip comes up either heads or tails. How many possible outcomes
a) are there in total?
b) contain exactly two heads?
c) contain at most three tails?
d) contain the same number of heads and tails?
The English alphabet contains \(21\) consonants and five vowels. How many strings of six lowercase letters of the English alphabet contain
a) exactly one vowel?
b) exactly two vowels?
c) at least one vowel?
d) at least two vowels?
Thirteen people on a softball team show up for a game.
a) How many ways are there to choose \({\bf{1}}0\) players to take the field?
b) How many ways are there to assign the \({\bf{1}}0\) positions by selecting players from the \({\bf{1}}3\) people who show up?
c) Of the\({\bf{1}}3\) people who show up, three are women. How many ways are there to choose \({\bf{1}}0\) players to take the field if at least one of these players must be a woman?
How many subsets with more than two elements does a set with 100elements have?
What do you think about this solution?
We value your feedback to improve our textbook solutions.
