There Are 5 Novels And 4 Biographies. In How Many Ways Can 4 Novels A

1.	There Are 5 Novels And 4 Biographies. In How Many Ways Can 4 Novels And 2 Biographies Can Be Arranged On A Shelf ?
Answer» 4 novels can be SELECTED out of 5 in 5C4 ways. 2 BIOGRAPHIES can be selected out of 4 in 4C2 ways. Number of ways of arranging novels and biographies = 5C44C2= 30 After selecting any 6 books (4 novels and 2 biographies) in one of the 30 ways, they can be ARRANGED on the shelf in 6! = 720 ways. By the Counting Principle, the total number of ARRANGEMENTS = 30 x 720 = 21600. 4 novels can be selected out of 5 in 5C4 ways. 2 biographies can be selected out of 4 in 4C2 ways. Number of ways of arranging novels and biographies = 5C44C2= 30 After selecting any 6 books (4 novels and 2 biographies) in one of the 30 ways, they can be arranged on the shelf in 6! = 720 ways. By the Counting Principle, the total number of arrangements = 30 x 720 = 21600.

There Are 5 Novels And 4 Biographies. In How Many Ways Can 4 Novels And 2 Biographies Can Be Arranged On A Shelf ?

Answer»

4 novels can be SELECTED out of 5 in 5C4 ways.

2 BIOGRAPHIES can be selected out of 4 in 4C2 ways.

Number of ways of arranging novels and biographies = 5C4*4C2= 30

After selecting any 6 books (4 novels and 2 biographies) in one of the 30 ways, they can be ARRANGED on the shelf in 6! = 720 ways.

By the Counting Principle, the total number of ARRANGEMENTS = 30 x 720 = 21600.

4 novels can be selected out of 5 in 5C4 ways.

2 biographies can be selected out of 4 in 4C2 ways.

Number of ways of arranging novels and biographies = 5C4*4C2= 30

After selecting any 6 books (4 novels and 2 biographies) in one of the 30 ways, they can be arranged on the shelf in 6! = 720 ways.

By the Counting Principle, the total number of arrangements = 30 x 720 = 21600.