JEE Main & Advanced
Mathematics
Permutations and Combinations
Question Bank
Definition of combinations, Conditional combinations, Division into groups, Derangements
question_answer
In an election there are 5 candidates and three vacancies. A voter can vote maximum to three candidates, then in how many ways can he vote [MP PET 1987]
A)125
B)60
C)10
D)25
Correct Answer:
D
Solution :
A voter can vote in \[^{5}{{C}_{1}}{{+}^{5}}{{C}_{2}}{{+}^{5}}{{C}_{3}}=25\] ways.