Determine the number of combinations, Mathematics

Assignment Help:

3 items x, y and z will have 6 different permutations however only one combination. The given formular is generally used to determine the number of combinations in a described situation.

nCr = (n!)/((r!)(n - r)!)

 Solution

i. 8C7 = (8!)/((7!)(8 - 7)!)

= 8!/7! 1!

= (8 * 7!)/1 * 7!

= 8

ii. 6C4 = (6!)/((4!)(6 - 4)!)

= 6!/4! 2!

= (6 * 5 * 4!)/(4! * 2 *1)

= 15

iii. 8C3 = (8!)/((3!)(8 - 3)!)

= (8 *7 *6 *5!)/(3 * 2 * 1 * 5!)

= 56


Related Discussions:- Determine the number of combinations

Factorization example, Example  Factorize x 2 - 4x + 4. If ...

Example  Factorize x 2 - 4x + 4. If we substitute x = 1, the value of the expression will be (1) 2 - 4(1) + 4 = 1 If we substitute x = -1, the value o

Ratios, a muffin recipe calls for three forth of a cup of sugar and one eig...

a muffin recipe calls for three forth of a cup of sugar and one eight of a cup of butter. travis accidentally put in one whole cup of butter. how much sugar does travis need to put

The dimensions are 2x and 4x what is area of sara''s bedroom, Sara's bedroo...

Sara's bedroom is within the shape of a rectangle. The dimensions are 2x and 4x + 5. What is the area of Sara's bedroom? Because the area of a rectangle is A = length times wid

Word problem, Twins Olivia and Chelsea and their friend Rylee were celebrat...

Twins Olivia and Chelsea and their friend Rylee were celebrating their fourteenth birthdays with a party at the beach. The first fun activity was water games. As Nicole arrived, sh

Standard conventions in game theory, Standard conventions in game theory ...

Standard conventions in game theory Consider the given table: Y   3 -4 X -2 1

Wit tester., two fathers and two sons went fishing . they caught only 3 fis...

two fathers and two sons went fishing . they caught only 3 fish and divided them equally among themselves without cutting. is it possible? how?

Geometry, calculate the area of a trapezoid with height 8cm base 18cm and 9...

calculate the area of a trapezoid with height 8cm base 18cm and 9cm

Find all the real solutions to cubic equation, Find all the real solutions ...

Find all the real solutions to cubic equation x^3 + 4x^2 - 10 =0. Use the cubic equation x^3 + 4x^2 - 10 =0 and perform the following call to the bisection method [0, 1, 30] Use

Calculus, Calculus Calculus is a branch of mathematics which describes...

Calculus Calculus is a branch of mathematics which describes how one variable changes in relationship to another variable. It enables us to determine the rate of change of one

Segmentation, what is segmentation and how to used as per the market with e...

what is segmentation and how to used as per the market with example?

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd