A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 3 employees to 2 different offices?
Created: 6 years ago |
Updated: 2 years ago
best des
Two offices can be filled in two ways, when all the three employee will be in same room or when two employee in one room and one in other room.
when all the three employee will be in same = 3C3 * 2! = 2 (2!, because any of the room can be taken)
when two employee in one room and one in other room. = 3C2 * 1C1 * 2! = 6
Hence total ways = 6 + 2
Answer is 8.
Md Azizur Rahman
Founder of Satt
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