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Find the total number of squares when $8$ vertical lines intersect $15$ horizontal lines such that all the vertical lines are parallel and equidistant to each other, and all the horizontal lines are also parallel and equidistant to each other.

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How many total squares are there in a standard chess board (or check board)?

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How many total rectangles are there in a standard chess board (or check board)?

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Find the total number of squares in the following diagram, where the main figure (i.e., the largest one) itself is a square.

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Find the total number of triangles in the given diagram.

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Find the total number of the shortest routes from one corner to its opposite corner in the given diagram.

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Find the total number of the shortest routes from $\mathrm{A}$ to $\mathrm{C}$ in the given diagram.

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Find the total number of the shortest routes from one corner to its opposite corner in the following diagram.

Solve the following problems independently of each other.

Find the total number of the shortest routes from one corner to its opposite corner in the following diagram.