If 43 C r -6-43 C 3 r -1- then the value of r isA- 12B- 8C- 6D- 10E- 14

The correct option is A 12 r 6 + 3r + 1 = 43 [∵^nC_x = ^nC_y⇒ n = x + y or x = y] ⇒ 4r 5 = 43 ⇒ 4r = 48 ⇒ r = 12 ...

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nCr Definitions and Properties

If 43 C r -6=...

Question

If $^{43} C_{r - 6} =^{43} C_{3 r + 1},$ then the value of r is

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