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Byju's Answer
Standard XII
Mathematics
Ordered Pair
If A=a,b,c:a,...
Question
If
A
=
{
(
a
,
b
,
c
)
:
a
,
b
,
c
are prime numbers and
a
+
b
+
c
=
9
}
, then the number of ordered triplets is
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Solution
Here,
a
,
b
,
c
are prime numbers and
a
+
b
+
c
=
9
⇒
a
=
2
,
b
=
2
,
c
=
5
;
a
=
2
,
b
=
5
,
c
=
2
;
a
=
5
,
b
=
2
,
c
=
2
;
a
=
3
,
b
=
3
,
c
=
3
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Similar questions
Q.
If
A
=
{
(
a
,
b
,
c
)
:
a
,
b
,
c
are prime numbers and
a
+
b
+
c
=
9
}
, then the number of ordered triplets is
Q.
Let
A
=
{
(
a
,
b
,
c
)
:
a
,
b
,
c
∈
N
,
a
(
b
c
)
=
64
}
,
then the total number of ordered triplets is
Q.
Let
A
=
{
(
a
,
b
,
c
)
:
a
,
b
,
c
∈
N
,
a
(
b
c
)
=
64
}
,
then the total number of ordered triplets is
Q.
The number of ordered triplets of natural numbers
(
a
,
b
,
c
)
for which
a
b
c
≤
11
is
Q.
Number of ordered triplets of natural number (a, b, c) for which
a
b
c
≤
11
is
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