The board of directors of a pharmaceutical corporation has 10 members. An upcoming stockholders’ meeting is scheduled to approve a new slate of company officers (chosen from the 10 board members) How many different slates consisting of a president, vice president, secretary, and treasurer can the board present to the stockholders for their approval? 5,040 ways How many of these ways have exactly 1 physician appearing on the slate if three members of the board of directors are physicians

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