Prove for positive integer number written as sum of terms
Prove, for each positive integer n, the number n! can be written as a sum of n terms n!=a1+a2+a3+.....+an, where 1=a12<n and all the numbers a1, a2,....., an are factors of n!. (Hint: induction, naturally.)
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There are 1000 natural numbers a1, a2,...., a1000. Prove that of the numbers 3a1, 3a2,...., 3a1000, there must be 56 of them which have the same remainder when divided by 19.
Adjusting Entries are required at the end of the period to ensure that accrual accounting principles are applied. At the beginning of the month, $1350.
The bank account as a control device helps to protect cash. One of the requiremnets is to conduct periodic bank statement reconciliaitons. Using the following data, complete the bank statement reconciliation.
Suppose that the group consists of six men and six women. How many different ways can the group seat themselves, if we insist that each person sit between a man and a woman?
Prove, for each positive integer n, the number n! can be written as a sum of n terms n!=a1+a2+a3+.....+an, where 1=a1<a2<<an and all the numbers a1, a2,....., an are factors of n!. (Hint: induction, naturally.)
Determine the distance from the surface of the earth to the surface of the moon.
Suppose that ten of the books are fiction, ten are non-fiction, and ten are poetry, and Alice wants to read at least one book of each type. Now how many different ways can she decide which book to read on each day?
A 75kg student is standing atop a spring in an elevator that is accelerating upward at 3.0m/s^2 The spring constant is 2300 N/m. By how much is the spring compressed?
The hourly workers' wages, food costs, and supplies costs are completely variable; the other costs are completely fixed. The cafeteria served 11,400 meals during September.
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