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Combinatorics | Number Theory
What is the next number of this sequence 1,2,6,12,20,29?
Combinatorics | Number Theory
Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42?
Combinatorics | Number Theory
The Dewey Decimal System divides knowledge ?
1.Chronologically
2.Numerically
3.By subject
4.Into ten call numbers
1.Chronologically
2.Numerically
3.By subject
4.Into ten call numbers
Combinatorics | Number Theory
There are five different routes from Tanya's house to the mall and eight routes from the mall to the water park. How many routes are there from Tanya's house to the water park?
Combinatorics | Number Theory
Find the value of n given that 3n permutation 4 = (n-1)permutation 5
Combinatorics | Number Theory
How many 5 letter code words (not necessarily word with sense) can be formed from the letter A B C D E F G H I and J if ? a. The word has at least one vowel
Combinatorics | Number Theory
The six graders at Washington middle school research the history of their city this day still gave a presentation to the other students at the school if they were 64 six skaters list all the ways they could have been divided equally into groups of 10 or fewer students
Combinatorics | Number Theory
Recall that ν(n) is the divisor function and it gives the number of positive divisors of n.
After knowing this, prove that ν(n) is a prime number if and only if n = p^q−1,
where p and q are prime numbers.
After knowing this, prove that ν(n) is a prime number if and only if n = p^q−1,
where p and q are prime numbers.
Combinatorics | Number Theory
Let a be a positive integer and let p be an odd prime number that does not divide a. Prove that
(a/p) + (2a/p) + (3a/p) + ((p-1)a/p) = 0
We say that (n/p) denotes the Legendre symbol here.
(a/p) + (2a/p) + (3a/p) + ((p-1)a/p) = 0
We say that (n/p) denotes the Legendre symbol here.
Combinatorics | Number Theory
Does there exist a positive integer n such that n^2 − 71 is evenly divisible by 107? Prove
your assertion.
your assertion.
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