There are 3 sections in a question paper and each section contains 5 questions. A candidate has to answer a total of 5 questions, choosing at least one question from each section. Then the number of ways, in which the candidate can choose the questions, is

Step-by-step solution

Total number of ways aligned &= ^5 C ₁ ^5 C ₁ ^5 C ₃+ ^5 C ₁ ^5 C ₂ ^5 C ₂ &+ ^5 C ₁ ^5 C ₃ ^5 C ₁+ ^5 C ₂ ^5 C ₁ ^5 C ₂ &+ ^5 C ₂ ^5 C ₂ ^5 C ₁+ ^5 C ₃ ^5 C ₁ ^5 C ₁ &=5 5 10+5 10 10+5 10 5 & +10 5 10+10 10 5+10 5 5 &= 250+500+250+500+500+250 &= 2250 aligned