secretary and dno person canA man has 6 friends. In how many ways can

1.	secretary and dno person canA man has 6 friends. In how many ways can he invite one or more of his friends ata dinner?hold more than one ofhcefalse statements in a question paper. How many sequences of
Answer» 1 friend can be selected out of 6 in 6C1 = 6 ways 2 friends can be selected out of 6 in 6C2 = 15 ways 3 friends can be selected out of 6 in 6C3 = 20 ways 4 friends can be selected out of 6 in 6C4 = 15 ways 5 friends can be selected out of 6 in 6C5 = 6 ways 6 friends can be selected out of 6 in 6C6 = 1 ways Therefore the required number of ways (combinations) = 6 + 15 + 20 + 15 + 6 + 1 = 63

secretary and dno person canA man has 6 friends. In how many ways can he invite one or more of his friends ata dinner?hold more than one ofhcefalse statements in a question paper. How many sequences of

Answer»

1 friend can be selected out of 6 in 6C1 = 6 ways

2 friends can be selected out of 6 in 6C2 = 15 ways

3 friends can be selected out of 6 in 6C3 = 20 ways

4 friends can be selected out of 6 in 6C4 = 15 ways

5 friends can be selected out of 6 in 6C5 = 6 ways

6 friends can be selected out of 6 in 6C6 = 1 ways

Therefore the required number of ways (combinations) = 6 + 15 + 20 + 15 + 6 + 1 = 63