4 boys and 2 girls occupy seats in a row at r | vedclass

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

Question

(C) Total number of people = $4 + 2 = 6$. The total number of ways to arrange $6$ people in a row is $n(S) = 6! = 720$. To find the number of ways whe

Vedclass · Accepted Answer

$\frac{1}{3}$

Vedclass · Answer

(C) Total number of people = $4 + 2 = 6$. The total number of ways to arrange $6$ people in a row is $n(S) = 6! = 720$. To find the number of ways where the $2$ girls sit side by side, we treat the $2$ girls as a single unit. Now, we have $4$ boys and $1$ unit (the $2$ girls), which makes $5$ units in total. These $5$ units can be arranged in $5!$ ways. The $2$ girls within their unit can be arranged in $2!$ ways. So, the number of favorable outcomes is $n(E) = 5! 	imes 2! = 120 	imes 2 = 240$. The probability $P$ is given by $\frac{n(E)}{n(S)} = \frac{5! 	imes 2!}{6!} = \frac{120 	imes 2}{720} = \frac{240}{720} = \frac{1}{3}$.

$4$ boys and $2$ girls occupy seats in a row at random. The probability that the two girls occupy seats side by side is:

Similar Questions

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

$A$ deck consists of $4$ Aces,$4$ Kings,$4$ Queens,and $4$ Jacks. If $2$ cards are drawn at random from this deck of $16$ cards,what is the probability that at least one card is an Ace?

$A$ bag contains $5$ white,$7$ black and $4$ red balls. Three balls are drawn from the bag at random. The probability that all the three balls are white,is

If a committee of $3$ is to be chosen from a group of $38$ people of which you are a member,what is the probability that you will be on the committee?

$A$ board has $16$ squares arranged in a $4 \times 4$ grid. Out of these $16$ squares,two squares are chosen at random. The probability that they have no side in common is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module