There are three papers of 100 marks each in an examination. Then the number of ways a student gets 150 marks such that he gets at least 60% in two papers.
3C2 x 32C2
4C3 x 32C2
4C3 x 36C2
4C3 x 32C3
As learnt in
Theorem of Combinations -
The number of combinations of n distinct objects taken r at a time when any object may be repeated any number of times is .
- wherein
Coefficient of in .
150 marks
Thus,
We get
solutions
and the two papers can be chosen in ways.
Option 1)
3C2 x 32C2
This option is correct.
Option 2)
4C3 x 32C2
This option is incorrect.
Option 3)
4C3 x 36C2
This option is incorrect.
Option 4)
4C3 x 32C3
This option is incorrect.