Unit 1 - nsmithcac
... 1. The number n is a prime number between 20 and 30. If you divide n by 8, the remainder is 5. What is the value of n? 2. Five consecutive two-digit positive integers, each less than 30, are not prime. What is the largest of these five integers? 3. What is the sum of the three distinct prime factors ...
... 1. The number n is a prime number between 20 and 30. If you divide n by 8, the remainder is 5. What is the value of n? 2. Five consecutive two-digit positive integers, each less than 30, are not prime. What is the largest of these five integers? 3. What is the sum of the three distinct prime factors ...
Short History of numbers
... of the great discoveries in mathematics namely 0(zero) by the indians in India about 500 BC. The idea that you could represent nothing by a symbol 0 that obeyed the laws of arthimetic like other symbols for numbers say 3,5 and 8 was a great achievemen if you think that you would not be able to do mu ...
... of the great discoveries in mathematics namely 0(zero) by the indians in India about 500 BC. The idea that you could represent nothing by a symbol 0 that obeyed the laws of arthimetic like other symbols for numbers say 3,5 and 8 was a great achievemen if you think that you would not be able to do mu ...
Some solutions to the problems on Practice Quiz 3
... 5), and divide this number by 5 (so as to account for the fact that one can cyclically permute the entries in a cycle). This gives 5!/5 = 120/5 = 24. • Finally, multiply the above two numbers, to get 21 · 24 = 504. • Answer: there are precisely 504 permutations of degree 7 and order 5. 9. How many p ...
... 5), and divide this number by 5 (so as to account for the fact that one can cyclically permute the entries in a cycle). This gives 5!/5 = 120/5 = 24. • Finally, multiply the above two numbers, to get 21 · 24 = 504. • Answer: there are precisely 504 permutations of degree 7 and order 5. 9. How many p ...
CHAPTER 3:
... 15 more than a number: The quotient of a number and 3: The difference of a number and 1: ...
... 15 more than a number: The quotient of a number and 3: The difference of a number and 1: ...
When is it appropriate to use a Combination or a Permutation?
... c. When you show up for lunch, you aren’t really hunger and only want to have a soup, salad, or entrée for your lunch. How many different meals could you eat? ...
... c. When you show up for lunch, you aren’t really hunger and only want to have a soup, salad, or entrée for your lunch. How many different meals could you eat? ...
Absolute Value
... For example, –4 is 4 units away from 0, so |–4| = 4. The symbol “| |” means “the absolute value of.” The absolute value of a positive number is just the number itself. For example, |5.8| = 5.8. 3 of 8 ...
... For example, –4 is 4 units away from 0, so |–4| = 4. The symbol “| |” means “the absolute value of.” The absolute value of a positive number is just the number itself. For example, |5.8| = 5.8. 3 of 8 ...
intro-algebra
... Al-Khwarizmi's text books were written as step-by-step instructions, in words! Describing how to solve each problem. This form of rhetorical algebra are known as algorithms ...
... Al-Khwarizmi's text books were written as step-by-step instructions, in words! Describing how to solve each problem. This form of rhetorical algebra are known as algorithms ...
Document
... The coefficients of the binomial expansion are called binomial coefficients. The coefficients have symmetry. (x + y)5 = 1x5 + 5x4y + 10x3y2 + 10x2y3 + 5xy4 + 1y5 The first and last coefficients are 1. The coefficients of the second and second to last terms are equal to n. Example: What are the last ...
... The coefficients of the binomial expansion are called binomial coefficients. The coefficients have symmetry. (x + y)5 = 1x5 + 5x4y + 10x3y2 + 10x2y3 + 5xy4 + 1y5 The first and last coefficients are 1. The coefficients of the second and second to last terms are equal to n. Example: What are the last ...