Example

Using five books labeled A, B, C, D, and E, how many different ways can three books be placed on a shelf?

Table 12-15 Example calculating permutations

Keys

Display

Description

 

 

 

V]<D4

 

items taken r at a time.

 

60.00

Calculates permutations of n

or, using Æ:

VÆD]< 60.00

Combinations

The nCr function calculates the number of different sets, or combinations, of n items taken r at a time. No item can occur more than once in the set of r items, and different orders of the same r items are not counted separately. This is calculated using the formula:

COMBINATIONS =

n!

(---------------------nr)!r!

Example

Using five colored balls, how many different color combinations of three colors can be chosen?

Table 12-16 Example calculating combinations

Keys

Display

Description

 

 

 

V]9D4

 

items taken r at a time.

 

10.00

Calculates combinations of n

or, using Æ:

VÆD]9 10.00

.

Random Number and Seed

The 10bII+ includes a random number generator function that generates a pseudo-random number in the range 0 < x < 1. To store a seed value, type a positive number and press

\w]6. Storing a value of 0 will select a random number and store it as the seed value.

Statistical Calculations 127