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

How far up the building will the ladder reach?, A rescue and ?re squad plac...

A rescue and ?re squad places a 15 ft ladder against a burning building. If the ladder is 9 ft from the base of the building, how far up the building will the ladder reach? a. 8

Geometry, how do you do rotations

how do you do rotations

What is plotting points, What is Plotting Points ? How would you go abo...

What is Plotting Points ? How would you go about drawing the graph of y = x2 ? One way to do it is by plotting points. (Your graphing calculator uses this method.) This is

What are the basic elements of reasoning, What are the Basic Elements of Re...

What are the Basic Elements of Reasoning ? There are four basic elements used in geometry. If we say studying geometry is like building a house, then these elements are like d

Pre-algebra, How do you solve a table to get the function rule?

How do you solve a table to get the function rule?

Lesson 3.5 skills practice, Noah is renewing a magazine subscription. one p...

Noah is renewing a magazine subscription. one package offers to renew the magazine for 3 years for 26$. A second package offers to renew the magazine for 5 years for $38

Shares and dividend, A man in rested rupee 800 is buying rupee5 shares and ...

A man in rested rupee 800 is buying rupee5 shares and then they are selling at premium of rupee 1.15.he sells all the share.find profit?

Tangent lines, Tangent Lines : The first problem which we're going to stud...

Tangent Lines : The first problem which we're going to study is the tangent line problem.  Before getting into this problem probably it would be best to define a tangent line.

External division of section formula, give me the derivation of external di...

give me the derivation of external division of sectional formula using vectors

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