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04 Jan 2023, 11:00
Kudos
Bookmarks
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
52% (01:59) correct
48%
(02:01)
wrong
based on 153
sessions
History
Date
Time
Result
Not Attempted Yet
A certain library distributes books to students in such a way that some of the students may not receive any book and more than one book can be distributed to a student. In how many ways can the library assign 4 different books to 3 students?
A. 4
B. 24
C. 27
D. 64
E. 81
A. 4
B. 24
C. 27
D. 64
E. 81
04 Jan 2023, 12:48
Kudos
Bookmarks
Bunuel
A certain library distributes books to students in such a way that some of the students may not receive any book and more than one book can be distributed to a student. In how many ways can the library assign 4 different books to 3 students?
A. 4
B. 24
C. 27
D. 64
E. 81
A. 4
B. 24
C. 27
D. 64
E. 81
According to the stem, each book can be given to any of the three students, so each book has 3 options: 3*3*3*3 = 3^4 = 81.
Answer: E.
05 Jan 2023, 01:34
Kudos
Bookmarks
Bunuel
A certain library distributes books to students in such a way that some of the students may not receive any book and more than one book can be distributed to a student. In how many ways can the library assign 4 different books to 3 students?
A. 4
B. 24
C. 27
D. 64
E. 81
A. 4
B. 24
C. 27
D. 64
E. 81
Solution:
- First book can be distributed in 3 ways (3 students)
- Second book can be distributed in 3 ways
- Same for third book = 3 ways
- And for forth book = 3 ways
- Thus, total number of ways \(=3\times 3\times 3\times 3=3^4=81\)
Hence the right answer is Option E
