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If 3(6C3) = 10(xC2), then x = ?

  1. 1
  2. 2
  3. 3
  4. 4

Answer (Detailed Solution Below)

Option 4 : 4
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Detailed Solution

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Concept:

Combinatorics:

  • nCr = .
  • n! = 1 × 2 × 3 × ... × n.
  • 0! = 1.


Calculation:

Given equation is: 3(6C3) = 10(xC2)

⇒ 

⇒ 

⇒ x(x - 1) = 12 = 4 × 3

⇒ x = 4.

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