Determine the number of combinations, Mathematics

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

Posted Date: 2/20/2013 4:38:42 AM | Location : United States







Related Discussions:- Determine the number of combinations, Assignment Help, Ask Question on Determine the number of combinations, Get Answer, Expert's Help, Determine the number of combinations Discussions

Write discussion on Determine the number of combinations
Your posts are moderated
Related Questions
uses of vector in daly life

Standard interpretations to derivatives Example   Assume that the amount of money in a bank account is specified by                                       P (t ) = 500 + 10

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

Financial institutions often create synthetic instruments out of existing instruments.  In this case an investment bank plans to buy Treasury Bonds with 20-year maturities at their

simplify the expression 3/5/64

Kevin ran 6.8 miles yesterday and 10.4 miles presently. How many more miles did he run today? To ?nd out how many more miles he ran today, subtract yesterday's miles from today

a group of 3o students is planning a thanksgiving party items needed hats @ $2.50 each.noise makers@$4.00 per pack of 5.Ballons @$5.00 per pack of 10.how many packs of noisemakers

find the radius of circumcircle of an equilateral triangle of 6root3 one side.

Can anyone help with my exam. I have 8 questions to do which is due on 02-14-13

what''s the main purpose of algebra in our daily life