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I am studying perms and combs on my own for a course which i want to take in the future. I have come across 2 questions, to which I need a solution. I would also need the reasoning applied to the solution for future application. Here are the 2 questions.
Question 1. How many ways can 18 different vehicles be arranged in a car dealership showroom?
a) In a single row ?
b) In 2 rows, where 7 of the vehicles are trucks to be arranged in one row, and the other 11 vehicles are cars, to be arranged in another row?
Question 2. There are 18 people in a choir, for a school of music. How many different ways can they be arranged.
a) In a single row?
b) In 3 rows, with 5 in the first row, 6 in the second row, and 7 in the third row ?
Let R be a ring with the property that every element is either nilpotent or invertible. If a, b, c are in R with a and b nilpotent, show that ac, ca, and a + b are nilpotent.
Amber has been amazing her friends with a math trick. Amber has a friend select a three-digit number and reverse the digits. The friend then finds the difference of the two numbers and reads the first two digits of the difference
Please help me with this problem: What is the remainder when 314^164 is divided by 165? (Watch out - 165 is not prime!) Please show all work. Thanks in advance for the help.
Simplify.2 8 8 (ab ) (a b ) =The 2 is above and to the right of the b. the 8 is above the right of the a. The other 8 is above the right of the b.
there are 6 different colored kittens at the pet store brown white black calico orange and gray. if annies family wants
If you have an arbitrary polynomial P(x) of the nth degree in x, and you graph the equation y = P(x), describe the overall shape of this graph.
Solve the equation by order of operations.
How do you write an exponential decay function to model a situation?
At Gwen's garage sale, all books were one price, and all magazines another price. Harriet bought 4 books and three magazines for $1.45 and June bought two books and five magazines for $1.25. What was the price of a book and what was the price of a..
Exponential equation by isolating the natural logarithm.
Assume you have a lemonade stand, & when you charge $1 per cup of lemonade you sell 50 cups. But when you raise your price to $2 you only sell 25 cups. Make an equation for the number of cups you sell as a function of the price you charge. Denote "C"..
Prove the following: If there exists an odd integer greater than 5 that is not the sum of three prime numbers, then Goldbach's Conjecture is false.
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