Permutations and Combinations 3 Question 11
11. Let
(2014 Adv.)
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Answer:
Correct Answer: 11. (7)
Solution:
- PLAN Reducing the equation to a newer equation, where sum of variables is less. Thus, finding the number of arrangements becomes easier.
As,
Let
Now,
| 0 | 0 | 0 | 0 | 5 |
| 0 | 0 | 0 | 1 | 4 |
| 0 | 0 | 0 | 2 | 3 |
| 0 | 0 | 1 | 1 | 3 |
| 0 | 0 | 1 | 2 | 2 |
| 0 | 1 | 1 | 1 | 2 |
| 1 | 1 | 1 | 1 | 1 |
So, 7 possible cases will be there.
