Question

A 5×6 rectangular grid with unit cells is given. Let A(0, 0) and B(5, 6) be the bottom-left corner and top-right corner, respectively. A traveler can move along the sides of the cells to the right and up only.

Answer 1

Answer:

462 paths from A to B

Step-by-step explanation:

The question is incomplete. However, a possible question is to determine the number of possible paths on the grid map.

The first step is to represent the grid map itself. (See attachment 1)

From the question, we understand that:

• Only right movement is allowed in the horizontal direction

• Only up movement is allowed in the vertical direction

There are a several number of ways to navigate through. However, one possible way is in attachment 2

In attachment 2,

• R represents the right movement
• U represents the up movement

And we have:

$R = 5$     and    $U = 6$

The number of possible paths (N) is then calculated as:

$N = \frac{(N + U)!}{N!U!}$

Substitute values for N and U

$N = \frac{(5 + 6)!}{5!6!}$

$N = \frac{11!}{5!6!}$

$N = \frac{39916800}{120 * 720}$

$N = \frac{39916800}{86400}$

$N = 462$

Hence, there are 462 possible paths from A to B