Compute a lower bound on the number of comparisons
Use decision trees to compute a lower bound on the number of comparisons required to sort six items in the worst case. Give an algorithm that uses this number of comparisons to sort six items in the worst case.
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Assume P(n) is true for infinite number of positive integers n. Also, assume that P(k+1) -> P(k) for all positive integers k. Now, prove that P(n) is true for all positive integers. Hint: this is the reverse induction principle.
Find out if matrix is diagonalized, if so find out a matrix P such that (P^-1)AP is diagonal and find out this matrix. Matrix (1, 4, 2, -1) I got how to check if diagonalized, but how do you find P?
A company makes four specialized types of calculators, each in both battery and solar powered versions, and each in six designer colors. How many different kinds of calculators are there?
If you're single and don't have a bachelors degree and are under age 25, then you don't qualify for independent Financial Aid. You're not under age 25. Thus, you qualify for independent Financial Aid. Is this an inverse, converse, or contrapositiv
The exam scores of all 500 students were recorded and it was estimated that these scores were normally distributed. If Jane's score is 0.8 standard deviation above mean, then how many, to the nearest unit, students scored above Jane?
A school committee consists of 2 teachers and 4 students. The number of different committees that can be formed from 5 teachers and 10 students is
A small business uses 4 managers, 9 salespeople, 5 secretaries, and 1 bookkeeper. A committee of 3 is to be chosen to plan the annual picnic.
A telephone number includes a sequence of seven digits not starting with 0 or 1. How many of them begin with either 463, 460, or 400
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