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IPMAT Indore 2023 - QA (MCQ) Q33 Explanation
December 31, 2024
Explanation:
(d)
Rabbit can climb 10 steps of the staircase by climbing in various combinations of single and two steps. Possible combinations are:
| No. of Single Steps | No. of Two Steps | No. of Arrangements (Single & Two Steps) |
|---|---|---|
| 0 | 5 | 1 way |
| 2 | 4 | 6!/2!4! = 15 ways |
| 4 | 3 | 7!/4!3! = 35 ways |
| 6 | 2 | 8!/6!2! = 28 ways |
| 8 | 1 | 9!/8!1! = 9 ways |
| 10 | 0 | 1 way |
| Total Ways | 89 ways |
Note: All the single steps & two steps used by the rabbit are considered identical among themselves.
Ans. 89 ways