A flight of stairs has 10 steps numbered 1 to 10 as shown in the figure below. 10 i. How many ways could you climb up the set of stairs, assuming that you can skip any number of stairs with each step, but you must end on step 10 and you can only go up, never down and never remaining on the same step. ii. How many ways could you climb up the set of stairs, assuming you take exactly 4 steps. Again, your staircase climb ends on step 10. JAlthough there are different ways in which you could solve this problem, model the problem as a balls and bins problem for full credit.

A flight of stairs has 10 steps numbered 1 to 10 as shown in the figure below. 10 i. How many ways could you climb up the set of stairs, assuming that you can skip any number of stairs with each step, but you must end on step 10 and you can only go up, never down and never remaining on the same step. ii. How many ways could you climb up the set of stairs, assuming you take exactly 4 steps. Again, your staircase climb ends on step 10. JAlthough there are different ways in which you could solve this problem, model the problem as a balls and bins problem for full credit.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

A flight of stairs has 10 steps numbered 1 to 10 as shown in the figure below.
i. How many ways could you climb up the set of stairs, assuming that you can skip any number
of stairs with each step, but you must end on step 10 and you can only go up, never down
and never remaining on the same step.
ii. How many ways could you climb up the set of stairs, assuming you take exactly 4 steps.
Again, your staircase climb ends on step 10. JAlthough there are different ways in which you
could solve this problem, model the problem as a balls and bins problem for full credit.

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