Explore BrainMass

Explore BrainMass

    Recursive Equations : A 2x2xn hole in a wall is to be filled with 2n 1x1x2 bricks...

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Q.A 2x2xn hole in a wall is to be filled with 2n 1x1x2 bricks. In how many ways can this be done if the bricks are indistinguishable?

    © BrainMass Inc. brainmass.com February 24, 2021, 2:22 pm ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/recursive-equations-hole-wall-filled-16507

    Solution Preview

    let F(n) be the number of ways to fill the hole. Let's consider the following cases:
    case 1: the first 2x2x1 part of the hole is filled by 2 bricks. There are two ways to fill this part with 2 bricks( either vertical or horizontal) and we have F(n-1) ways to fill ...

    Solution Summary

    A recursive equation is used to find how many ways bricks can be placed in a hole in a wall. Diagrams are included with this well explained solution.

    $2.19

    ADVERTISEMENT