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AP EAPCET 07-Jul-2022 Shift 1 Paper
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© examsnet.com
Question : 16
Total: 160
The total number of positive integral solutions
(
x
,
y
,
z
)
of
x
y
z
=
24
is
24
30
36
32
Validate
Solution:
👈: Video Solution
x
y
z
=
24
=
2
3
×
3
Let
x
=
2
x
1
×
3
y
1
,
y
=
2
x
2
×
3
y
2
and
z
=
2
x
3
×
3
y
3
x
1
+
x
2
+
x
3
=
3
and
y
1
+
y
2
+
y
3
=
1
Number of non-negative integral solution
=
3
+
3
−
1
C
3
−
1
=
5
C
2
=
10
Number of non-negative integral solution
=
1
+
3
−
1
C
3
−
1
=
3
C
2
=
3
∴
The total number of positive integral
10
×
3
=
30
© examsnet.com
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