If m rupee coins and n ten paise coins are pl | vedclass

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

Question

(B) Total number of ways to arrange $m$ rupee coins and $n$ ten paise coins in a line is given by the number of permutations of $m+n$ objects where $m

Vedclass · Accepted Answer

$\frac{n(n - 1)}{(m + n)(m + n - 1)}$

Vedclass · Answer

(B) Total number of ways to arrange $m$ rupee coins and $n$ ten paise coins in a line is given by the number of permutations of $m+n$ objects where $m$ are of one type and $n$ are of another type: $\frac{(m + n)!}{m! n!}$.If the extreme coins are ten paise coins,we fix two ten paise coins at the two ends. The remaining $(m + n - 2)$ coins consist of $m$ rupee coins and $(n - 2)$ ten paise coins.The number of ways to arrange these remaining coins is $\frac{(m + n - 2)!}{m! (n - 2)!}$.Therefore,the required probability is:$P = \frac{\frac{(m + n - 2)!}{m! (n - 2)!}}{\frac{(m + n)!}{m! n!}}$$P = \frac{(m + n - 2)!}{m! (n - 2)!} 	imes \frac{m! n!}{(m + n)!}$$P = \frac{n(n - 1)}{(m + n)(m + n - 1)}$.

If $m$ rupee coins and $n$ ten paise coins are placed in a line,then the probability that the extreme coins are ten paise coins is

Similar Questions

Four boys and three girls stand in a queue for an interview. What is the probability that they will be in alternate positions?

In a relay race there are five teams $A, B, C, D$ and $E$. What is the probability that $A, B$ and $C$ finish first,second and third,respectively?

On her vacations,Veena visits four cities ($A, B, C$,and $D$) in a random order. What is the probability that she visits $A$ before $B$ and $B$ before $C$?

$A$ bag contains $5$ red and $4$ green balls. If four balls are drawn at random,what is the probability that two balls are red and two balls are green?

$A$ box contains $4$ defective and $6$ good machines. Two machines are selected at random without replacement. Find the probability that both the machines are good.

Vedclass Test Series

Exam Paper Generator

Online Exam Module