MBA Exam

If 10 couples are invited for a party so that either wife alone attends or couple attend the party . How many ways the party can be arranged?

1) 1024
2) 29
3) 19
4) 30

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MBA Other Question

12 students are made to stand in a row. A class teacher has to select three students from these 12 such that there are at least 3 students standing between any two of the three selected. In how many ways can this be done?

1) 24
2) 10
3) 16
4) 20
In a room there were 7 persons. the chance that two of them were born on the same day of the week is - Approach plz !

1) 1080/7^5
2) 2160/7^5
3) 540/7^5
4) NOT