Section 4: statistics functions, Probability calculations, Statistics functions – HP 15c User Manual

Page 47

Advertising
background image

47

Section 4

Statistics Functions

A word about the statistics functions: their use is based on an understanding
of memory stack operation (Section 3). You will find that order of entry is
important for most statistics calculations.

Probability Calculations

The input for permutation and combination calculations is restricted to
nonnegative integers. Enter the y-value before the x-value. These functions,
like the arithmetic operators, cause the stack to drop as the result is placed
in the X-register.

Permutations. Pressing ´p calculates the number of possible
different arrangements of y different items taken in quantities of x items at a
time. No item occurs more than once in an arrangement, and different
orders of the same x items in an arrangement are counted separately. The
formula is

)!

(

!

,

x

y

y

P

x

y

Combinations. Pressing |c calculates the number of possible sets
of y different items taken in quantities of x items at a time. No item occurs
more than once in a set, and different orders of the same x items in a set are
not counted separately. The formula is

)!

(

!

!

,

x

y

x

y

C

x

y

Examples: How many different arrangements are possible of five pictures
which can be hung on the wall three at a time?

Keystrokes

Display

5

v 3

3

Five (y) pictures put up three (x) at a
time.

´p

60.0000

Sixty different arrangement possible.

Advertising