Question

In how many ways can 7 different objects be divided among 3




persons so that either one or two of them do not get any object?




a. 36



b.180



c.381



d.84

Answer 1

Answer:

C. 381

Step-by-step explanation:

Given,

Number of person = 3,

Number of objects = 7,

If two of them do not get any object,

So, the number of ways = 3,

If either one do not get any object,

So, there are 6 cases,

1) one got 6, other got 1,

Total ways = 21,

2) one got 5 second got 2,

Total ways = 63,

3) one got 4 second got 3,

Total ways = 105

4) one got 3 second got 4,

Total ways = 105,

5) one got 2 second got 5,

Total ways = 63,

6) one got 1 second got 6,

Total ways = 21,

Hence, the total ways = 3 + 21 + 63 + 105 + 105 + 63 + 21  = 381

Option 'C' is correct.