Q.
At an electron, a voter may vote for any number of candidates not greater than the number to be elected. There are 10 candidates and 4 are to be elected. If a voter votes for at least one candidate, then the number of ways in which he can vote, is
A) 6210
B) 385
C) 1110
D) 5040
Explanation
(b)
Total number of ways
$= \ ^{10}C_{1} + \ ^{10}C_{2} + \ ^{10}C_{3} + \ ^{10}C_{4}$
$= 10 + 45 + 120 + 210 = 385$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.