JEE Advanced · Mathematics · 4. P&C
Let be positive integers such that . Then the number of such distinct arrangements is _________
- A 5
- B 7
- C 9
- D 11
Answer & Solution
Correct Answer
(B) 7
Step-by-step Solution
Detailed explanation
When takes value from 10 to 6 the carry forward moves from 0 to 4 which can be arranged in
Alternate solution
Possible solutions are
1, 2, 3, 4, 10
1, 2, 3, 5, 9
1, 2, 3, 6, 8
1, 2, 4, 5, 8
1, 2, 4, 6, 7
1, 3, 4, 5, 7
2, 3, 4, 5, 6
Hence 7 solutions are there.
Alternate solution
Possible solutions are
1, 2, 3, 4, 10
1, 2, 3, 5, 9
1, 2, 3, 6, 8
1, 2, 4, 5, 8
1, 2, 4, 6, 7
1, 3, 4, 5, 7
2, 3, 4, 5, 6
Hence 7 solutions are there.
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