Ordered with any combination
A pizza can be ordered with any combination of (or none of) pepperoni, ham, sausage, mushrooms and olives. In how many ways can a pizza be ordered?
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A graduate class in computer science includes six students, three men and three women. During the last two days of the semester, presentations are made by the students three presentations on each day.
Three dice are tossed. Determine the probability that 1 was obtained on two of the dice provide that the sum of the numbers on the three is 7?
In how many manners can this be done? In how many manners can these books be placed on book shelf if the books on same subject should be grouped together?
How many different manners are there of chooses 5 people from group of 7 and seating them in row of 5 chairs? In how many manners can 7 girls and 6 boys be seated in a row?
Throughout the last class period of semester, each student in graduate computer science class with 10 students is needed to provide a brief report on his or her class project.
Compute the probability that heads takes place on the first flip of the coin? Compute the probability that heads takes place on the first time on the second flip of the coin?
Determine the general solution y = y(t) for each homogeneous equation. Show the techniques you use to find out the roots of the characteristic equations.
Suggest the damped harmonic oscillator, given by x'' + 2x'+ 9 x = 0 . Rewrite as a system of two first order ODEs
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