If n C 12- n C 8- then n -A- 30B- 20C- 12D- 6

The correct option is B 20 n = 12 + 8 = 20 [∵ ^nC_x = ^nC_y⇒ n = x + y or x = y] ...

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nCr Definitions and Properties

If n C 12= n ...

Question

If $^{n} C_{12} =^{n} C_{8}$ , then n =

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Solution

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^{n} C_{12} =^{n} C_{8}

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If $^{n} C_{12} =^{n} C_{8}$ , then n is equal to

(a) 20 (b) 12 (c) 6 (d) 30

^{n} C_{8} =^{n} C_{12}

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^{n} C_{12} =^{n} C_{8}

^{n} C_{17}

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