Question

The number of ways in which a garland can be formed by using 10 identical pink flowers and 9 identical white flowers is ______

Options

• `(18!)/(10! xx 9!)`

• `(19!)/(10! xx 9!)`

• `(18!)/(2 xx 10! xx 9!)`

• `(19!)/(2 xx 10! xx 9!)`

Answer 1

The number of ways in which a garland can be formed by using 10 identical pink flowers and 9 identical white flowers is `underline((18!)/(2 xx 10! xx 9!)).`

Explanation:

In the case of garland, clockwise and anticlockwise arrangements are considered alike. Thus, no. of garlands can be formed. 

= `((19 - 1)!)/(2 xx 10! xx 9!) = (18!)/(2 xx 10! xx 9!)`