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Test Index
Permutations and Combinations
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Section:
Mathematics
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© examsnet.com
Question : 3
Total: 47
The number of ways of forming the ordered pairs
(
p
,
q
)
such that
p
>
q
by choosing
p
and
q
from the first 50 natural numbers is
[AP EAPCET 23 May 2025 S2]
1275
1250
1225
1200
Validate
Solution:
Total possible ordered pairs
(
p
,
q
)
of first 50 natural numbers
=
50
×
50
=
2500
Out of these, exactly half will satisfy
p
>
q
and there are 50 pairs where
p
=
q
{
(
1
,
1
)
,
(
2
,
2
)
.
.
.
(
50
,
50
)
}
So, number of pairs with
p
â‰
q
=
2500
−
50
=
2450
and for
p
>
q
=
‌
2450
2
=
1225
© examsnet.com
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