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JEE Main Math Class 11 Permutations and Combinations 2 Questions
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© examsnet.com
Question : 53
Total: 87
Number of 4-digit numbers that are less than or equal to 2800 and either divisible by 3 or by 11 , is equal to ________.
[31-Jan-2023 Shift 1]
Your Answer:
Validate
Solution:
1000
−
2799
Divisible by 3
1002
+
(
n
−
1
)
3
=
2799
n
=
600
Divisible by 11
1
−
2799
→
[
2799
11
]
=
[
254
]
=
254
1
−
999
=
[
999
11
]
=
90
1000
−
2799
=
254
−
90
=
164
Divisible by 33
1
−
2799
→
[
2799
33
]
=
84
1
−
999
→
[
999
33
]
=
30
1000
−
2799
→
54
∴
n
(
3
)
+
n
(
11
)
−
n
(
33
)
600
+
164
−
54
=
710
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