Chapter 2: Main Application 53
Problem Operation
Determine the greatest common divisors of {4, 3},
{12, 6}, and {36, 9}.
[iGcd] { 4 , 3 },{ 12 , 6 },{ 36
, 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},
{12, 6}, and {36, 9}.
[iLcm] { 4 , 3 },{ 12 , 6 },{ 36
, 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
of both operations. (iMod(21, {6, 7})
[iMod] 21 ,{ 6 , 7 })w
Permutation (nPr) and Combination (nCr)
u Total Number of Permutations
u Total Number of Combinations
Problem Operation
To determine the number of permutations and combinations
possible when selecting four people from a group of 10
10
P
4
= 5040
} 10 , 4 w
10
C
4
= 210
{ 10 , 4 w
3
²²²²²
²
&
²²²²²²²
²
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