In how many ways can five positive integers be added such that their sum does not exceed ten?
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In how many ways can five positive integers be added such that their sum does not...
In how many ways can five non-negative integers be added such that their sum does not exceed ten?
In how many ways can five positive integers be added such that their sums ten?
What is the smallest positive integer that can be expressed as the sum of nine consecutive positive integers, the sum of ten consecutive positive integers, and the sum of eleven consecutive positive integers? Explain how you arrived at this number.
3. Consecutive Sums a. (4 pts) Write 90 as the sum of consecutive positive integers in as many ways as possible. b. (4 pts) If a number can be written as n (d)(t) where d is an odd number of the form 2k + 1 and d is greater than 1, show symbolically how n can be written as the sum of consecutive numbers. Illustrate this with one example from part a. c. (4 pts) State a conjecture identifying the...
How many possible ways that we can assign two heads by tossing five coins?
A comedian knows five jokes, two are about the weather and three are about spots in how many ways can people select her tsvom three are about sports. In how many ways can people select their favorite joke about the weather and their two favorites jokes told about sports? There are different ways can people select their favorite jokes Enter your answer in the answer box A comedian knows five jokes, two are about the weather and three are about...
Exercise 6: How many positive integers between 1 and 10", with n 1 a positive integer, does not have 7 as a digit in their base 10 representation?
Suppose we pick 2 integers together, in the range from 1 to 100. How many ways are there to pick these 2 numbers such that their product is a multiple of 7? 5. How many even positive integers are there that are divisors of 30030? 6. Suppose 6 identical dice each with faces numbered 1 through 6 are tossed at the same time. What is the probability of the event "the result of the outcome is such that three different...
in how many ways can a five-member board of directors be chosen from among nine persons
I have nine different programming textbooks on my bookshelf, five C++ and four Java. In how many ways can I arrange the books a) if there are no restrictions? b) ifthe languages should alternate? c) if all the C++books must be next to each other? d) if all the C++books must be next to each other and all the Java books must be next to each other? 1. 2. Suppose that you draw five cards from a standard deck of...