What is the number of ways in which an examiner can assign 10 marks to 4 questions, giving not less than 2 marks to any questions?

Step-by-step solution

x₁+x₂+x₃+x₄=10 x_ i 2 (x₁-2 )+ (x₂-2 )+ (x₃-2 )+ (x₄-2 )=2 array llll y ₁ & y ₂ & y ₃ & y ₄ array y ₁+ y ₂+ y ₃+ y ₄=2 ; y _ i 0 N.O.W = ²⁺⁴⁻¹ C _ 4-1 = ⁵ C ₃=10