JEE Main & Advanced
Mathematics
Permutations and Combinations
Question Bank
Definition of permutation, Number of permutations with or without repetition, Conditional permutations
question_answer
In how many ways can 5 prizes be distributed among four students when every student can take one or more prizes [BIT Ranchi 1990; RPET 1988, 97]
A)1024
B)625
C)120
D)600
Correct Answer:
A
Solution :
Required number of ways are\[{{4}^{5}}=1024\]. {Since each prize can be distributed in 4 ways}.