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How many 3-digit numbers can be formed using digits without repetition?
Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First, the women chose the chairs from amongst marked 1 to 4; and then men selected the chairs from amongst the remaining. The number of possible arrangements is:
Let denote the number of triangles which can be formed using the vertices of a regular polygon of sides. If , then equals:
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