Different computer science books
Eight different computer science books have been purchased to give to 4 students who won a programming contest. If each student is to receive 2 of the 8 books, in how many ways can the 8 books be distributed to these students?
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Amber agrees to contribute to research fund the sum of $250 at the end of each year for next 5 years. Tania desires to match amber's gift but wants to make lump-sum contribution today. If the current rate is 9% compounded annually, how much should
In order to gain access to the private web site, each person should have his or her own 6-digit password, where some digit is employed three times and the remaining three digits are distinct. How many such passwords are there?
Ten students have decided to join the club. If four select the computer science club and three each select to join the mathematics club and statistics club, in how many ways can this be done?
Answer the question above by listing all possible selections in a table. Answer the question above by determining the coefficient of x^6 in a product of polynomials and/or power series
For final exam in musical theater class, the three students john, kim and lisa are to present program of 10 songs, with john singing 4 of them and kim and lisa singing 3 each. In how many different orders can the program be presented? Please descr
A total of 12 students have volunteered to participate in student government for coming year. In an election, the top vote-getter becomes president
Suggest the set R+ of positive real nummbers, this is {x in R: x>0}. Prove by contradiction that R+ has no first element.
What is the probability that the sum of the numbers of the two dice is divisible by 6? What is the probability that the sum of the numbers of the two dice is divisible by 5?
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