There are five questions in a question paper. In how many ways can a boy solve one or more questions?
Answers
Answer:
31
Step-by-step explanation:
Hi,
Given that there a re 5 questions in a question paper ,
Required to find the number of ways in which a boy can solve
one or more questions,
Either a boy can solve 1 question or he can solve 2 questions or
he can solve 3 questions or he may solve 4 questions or he
could solve all the questions as well
A boy could solve only one question in ⁵C₁ ways = 5 ways ,
since that could be any one of the question from the given 5
A boy could solve 2 questions in ⁵C₂ ways = 10 ways
A boy could solve 3 questions in ⁵C₃ ways = 10 ways
A boy could solve 4 questions in ⁵C₄ ways = 5 ways.
A boy could solve all the questions in only 1 way.
Thus the total number of ways in which a boy can solve one or
more questions are ( 5 + 10 + 10 + 5 + 1) = 31.
Hope, it helped !