UrgentHomeWork

+1-617-874-1011 (US)
+44-117-230-1145 (UK)
+61-7-5641-0117 (AU)
help@urgenthomework.com

# Combination Homework Help

## Introduction to Combination

A Combination is an arrangement of items in which order does not matter. To find the number of Combinations of n items chosen r at a time, you can use the formula

nCr = n!/r!(n-r)! where 0 ≤ r ≤ n

## Example for Combination

A class consists of 14 boys and 17 girls. Four students from the class are to be selected to go on a trip.

(a) How many different possibilities are there for the 4 students selected to make the trip?

(b) If it has been decided that 2 boys and 2 girls will make the trip, then in how many different ways could the 4 students be selected?

Solution

(a) C(31,4) = = 31,465

(b) C(14,2) ! C(17,2) = 91 ! 136 = 12,376

Number of combinations: The number of all combination of n things, taken r at a time is:

nCr=n!/R!(n-1)! = (n(n-1)(n-2)….to r factors)/r!

An Important Result:

nCr=1 and nCr = nC(n-r)

Example:

#### Important topics in Mathematics

Calculator
Simple Calculator
Scientific Calculator
EMI Calculator
Mortgage Calculator
Love Calculator
Percentage Calculator
Currency Calculator
Units Converter
Graph Calculator
Financial Lease Calculator
Temperature Converter
Resources
24 x 7 Availability.
Trained and Certified Experts.
Plagiarism Free.
Privacy Guaranteed.