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Question

If $$^8C_r - ^7C_3 = ^7C_2$$, find r.


Solution

$$^8C_r - ^7C_3 = ^7C_2$$

or $$^8C_r = ^7C_3 + ^7C_2 = ^8C_3 = ^8C_5$$

$$\therefore$$   r = 3 or 5

Mathematics

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