Combinations - Casio fx-3650P Programming Manual

Programmable scientific calculator
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25

Combinations

A
Let there be
cards with the letter "
*
C
letter "
" and
cards with the letter "
Then number of possible different ways to arrange all
(
×
×
)
A B
C
cards in a row, is given by:
×
C
C
a
+ +
b
c
b
+
c
a
b
ON
MODE
MODE
?→ A:?→ B:?→ C: (A + B + C)!÷ A!÷ B!÷ C!→ Y:Y < 33 STEP >
INPUT
A, B, C, : number of cards showing "A", "B" and "C" respectively
OUTPUT
Y : the number of combinations
How many combinations are possible for 3 "
Prog
1
3
EXE
2
EXE
2
EXE
(
)!
(
---------------------------- - b
a
+ +
b
c
=
------------------ -
(
)!
a! b
+
c
b!c!
PRGM
MODE
B
cards with the
",
+
" written on them.
)!
(
+
c
a
+ +
b
c
=
---------------------------- -
a!b!c!
...
×
×
a!
=
1 2
=
0!
1
COMP
1
MODE
*
"s, 2 "
"s and 2 "
S A
S A
S A
S A
)!
×
a
1
1
+
"s?
P1 P1 P2 P3 P4
D R
P1 P1 P2 P3 P4
D R
P1 P1 P2 P3 P4
D R
P1 P1 P2 P3 P4
D R
G
G
G
G
35

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