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JEE Main Math Class 12 Probability Part 2 Questions
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© examsnet.com
Question : 69
Total: 95
Five numbers
x
1
,
x
2
,
x
3
,
x
4
,
x
5
are randomly selected from the numbers
1
,
2
,
3
,
.
.
.
.
.
.
.
,
18
and are arranged in the increasing order
(
x
1
<
x
2
<
x
3
<
x
4
<
x
5
)
. The probability that
x
2
=
7
and
x
4
=
11
is :
[27-Jun-2022-Shift-1]
1
136
1
72
1
68
1
34
Validate
Solution:
No. of ways to select and arrange
x
1
,
x
2
,
x
3
,
x
4
,
x
5
from
1
,
2
,
3
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
n
(
s
)
=
18
C
5
n
(
E
)
=
6
C
1
×
3
C
1
×
7
C
1
P
(
E
)
=
6
×
3
×
7
18
C
5
1
17
×
4
=
1
68
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