Casio FXCP400 u“iLcm” Function, u“iMod” Function, uTotal Number of Permutations, uTotal Number of Combinations, Permutation (nPr) and Combination (nCr)

Problem	Operation
Determine the greatest common divisors of {4, 3},	[iGcd] { 4 , 3 },{ 12 , 6 },{ 36
{12, 6}, and {36, 9}.	, 9 })w

u“iLcm” Function

Syntax: iLcm(Exp-1, Exp-2[, Exp-3…Exp-10)] (Exp-1 through Exp-10 all are integers.) iLcm(List-1, List-2[, List-3…List-10)]

(All elements of List-1 through List-10 are integers.)

Function:

•The first syntax above returns the least common multiple for two to ten integers.

•The second syntax returns, in list format, the least common multiple (LCM) for each of the elements in two to ten lists. When the arguments are {a,b}, {c,d}, for example, a list will be returned showing the LCM for a and c, and for b and d.

Description:

•All of the lists must have the same number of elements.

•When using the “iLcm(List-1, List-2[, List-3…List-10)]” syntax, one (and only one) expression (Exp) can be include as an argument in place of a list.

Problem	Operation
Determine the least common multiples of {4, 3},	[iLcm] { 4 , 3 },{ 12 , 6 },{ 36
{12, 6}, and {36, 9}.	, 9 })w

u“iMod” Function

Syntax: iMod(Exp-1/List-1, Exp-2/List-2[)]

Function:

• This function divides one or more integers by one or more other integers and returns the remainder(s).

Description:

•Exp-1 and Exp-2, and all of the elements of List-1 and List-2 must be integers.

•You can use Exp for one argument and List for the other argument (Exp, List or List, Exp) if you want.

•If both arguments are lists, both lists must have the same number of elements.

Problem	Operation
Divide 21 by 6 and 7, and determine the remainder	[iMod] 21 ,{ 6 , 7 })w
of both operations. (iMod(21, {6, 7})

Permutation (nPr) and Combination (nCr)

uTotal Number of Permutations	￿
	￿￿￿￿￿￿￿￿￿
	￿ ￿￿￿￿￿
uTotal Number of Combinations	￿
	￿￿￿￿￿￿￿￿￿￿￿
	￿￿￿ ￿￿￿￿￿
Problem			Operation
To determine the number of permutations and combinations		10P4 = 5040	} 10 , 4 w
possible when selecting four people from a group of 10
		10C4 = 210	{ 10 , 4 w

Chapter 2: Main Application 51