If Ramesh have 3 of 10 rupees notes, 4 of 50 rupees notes and 2 of 100 rupees notes. How many ways can he give none or some notes to his friend Ram if he gives at least one of 100 rupees note to Ram?
40
The number of ways he can give none or some notes of 10 rupees to his friend Ram = Giving zero of 10 rupees note or Giving one of 10 rupees note or Giving two of 10 rupees note or Giving all three of 10 rupees note
The number of ways he can give none or some notes of 10 rupees to his friend = 4
Similarly,
The number of ways he can give none or some notes of 50 rupees to his friend Ram = 5
The number of ways he can give at least one of 100 rupees note to Ram = either give one 100 rupees or give both 100 rupees notes
The number of ways he can give at least one of 100 rupees note to Ram = 2
Total Number of ways = (3+1)(4+1)(2) = 40