kPermutation and Combination
u Permutationu Combination

n!

 

n!

nPr = (n r)!

 

nCr =

 

 

 

r! (n r)!

• Be sure to specify Comp for Mode in the Setup screen.

 

 

 

Example 1 To calculate the possible number of different arrangements using 4 items selected from among 10 items

Formula

Operation

 

 

10P4 = 5040

10K6(g)3(PROB)2(nPr) 4w

 

 

Example 2 To calculate the possible number of different combinations of 4 items that can be selected from among 10 items

Formula

Operation

 

 

10C4 = 210

10K6(g)3(PROB)3(nCr) 4w

 

 

kGreatest Common Divisor (GCD), Least Common Multiple (LCM)

Example

Operation

To determine the greatest common K6(g)4(NUMERIC)6(g)2(GCD) 28

divisor of 28 and 35,35)w (GCD (28, 35) = 7)

To determine the least common multiple K6(g)4(NUMERIC)6(g)3(LCM) 9

of 9 and 15,15)w (LCM (9, 15) = 45)

kDivision Remainder (MOD), Remainder of Exponential Division (MOD Exp)

Example

Operation

 

 

To determine the remainder when 137 is

K6(g)4(NUMERIC)6(g)4(MOD) 137

divided by 7

,7)w

(MOD (137, 7) = 4)

 

To determine the remainder when 53 is

K6(g)4(NUMERIC)6(g)

divided by 3

5(MOD Exp)5,3,3)w

(MOD Exp (5, 3, 3) = 2)

 

 

 

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