Question

Asked Dec 19, 2019

4 views

Explain the difference between a permutation and a combination of n items taken r at a time.

Step 1

Two types of counting problems occur so frequently that they deserve special

attention. These problems are as follows:

(1) How many different arrangements (ordered lists) of *r *objects can be formed from a set of *n *distinct objects?

(2) How many different selections (unordered lists) of *r *objects can be made from a set of *n *distinct objects?

Permutation can be used for Type (1) and combination can be used for Type (2).

Step 2

An arrangement or ordering of *n *distinct objects is called a permutation of the objects. The number of permutation of *n *objects is n!. And the number of ways to arrange *r *objects that are taken from *n *objects is *nPr. *here

Step 3

If *r <= n, *then an unordered selection of *r *objects chosen from a set of *n *distinct objects is called an r-combination of the objects...

Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: Given b n=(n+4)/3n , find b 45

A: Consider the given function

Q: For Exercise, solve the equation. Write the solution set with exact values and give approximate solu...

A: Click to see the answer

Q: What is the minimum or maximum value of a quadratic function? When a > 0, the parabola opens ...

A: Click to see the answer

Q: Give a rule for the function graphed below. 23. 10 -2 -3 -6 -8 -10 12

A: From figure, two lines are there and discontinuity at x = -2. Aim is to find the equation of these l...

Q: Let f(x) = x2 + 5 and g(x) = x + 5 . For the given value of x, is it possible to find (f + ...

A: Click to see the answer

Q: practice question 19

A: Given:

Q: Write an absolute value expression to represent the distance between a and b on the real number line...

A: Given, To an absolute value expression to represent the distance between a and b on the re...

Q: Use synthetic division to find the quotient and the remainder x^4-3x^2+4x+1 divided by x-1 is equal

A: The given equation is

Q: practice question 16

A: Given,