In how many ways can a garland be made from e | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) The number of ways to arrange $n$ distinct objects in a circle is $(n - 1)!$. For a garland (or necklace),the clockwise and counter-clockwise arra

Vedclass · Accepted Answer

$\frac{9!}{2}$

Vedclass · Answer

(D) The number of ways to arrange $n$ distinct objects in a circle is $(n - 1)!$. For a garland (or necklace),the clockwise and counter-clockwise arrangements are considered identical because the garland can be flipped over. Therefore,the number of ways to make a garland from $n$ flowers is $\frac{(n - 1)!}{2}$. Given $n = 10$,the number of ways is $\frac{(10 - 1)!}{2} = \frac{9!}{2}$.

In how many ways can a garland be made from exactly $10$ flowers?

Similar Questions

If $\frac{{}^{n + 2}{C_6}}{{}^{n - 2}{P_2}} = 11$,then $n$ satisfies the equation

In how many ways can a girl and a boy be selected from a group of $15$ boys and $8$ girls?

How many numbers greater than $100$ and divisible by $5$ can be made from the digits $3, 4, 5, 6$,if no digit is repeated?

Out of $7$ consonants and $4$ vowels,how many words of $3$ consonants and $2$ vowels can be formed?

In how many different ways can the letters of the word '$CYCLE$' be arranged?

Vedclass Test Series

Exam Paper Generator

Online Exam Module