Five students are to be arranged on a platfor | vedclass

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

Question

(C) There are $5$ positions in total. The boy $B_1$ is fixed at the $2^{	ext{nd}}$ position.Remaining students are $4$ (including $G_1$ and $G_2$).Si

Vedclass · Accepted Answer

$8$

Vedclass · Answer

(C) There are $5$ positions in total. The boy $B_1$ is fixed at the $2^{	ext{nd}}$ position.Remaining students are $4$ (including $G_1$ and $G_2$).Since $G_1$ and $G_2$ must be adjacent,we treat $(G_1, G_2)$ as a single unit.Now we have $3$ units to arrange in the remaining $4$ positions: the unit $(G_1, G_2)$ and the $2$ other students.However,the $2^{	ext{nd}}$ position is already occupied by $B_1$. The available positions are $1^{	ext{st}}, 3^{	ext{rd}}, 4^{	ext{th}}, 5^{	ext{th}}$.If we place the unit $(G_1, G_2)$ in positions $(3, 4)$ or $(4, 5)$,we have $2$ ways to place the unit.Within the unit,$G_1$ and $G_2$ can be arranged in $2! = 2$ ways.The remaining $2$ students can be arranged in the remaining $2$ positions in $2! = 2$ ways.Total arrangements $= 2 	imes 2 	imes 2 = 8$.

Five students are to be arranged on a platform such that the boy $B_1$ occupies the second position and the girl $G_1$ is always adjacent to the girl $G_2$. Then,the number of such possible arrangements is

Similar Questions

Find $r,$ if $5 \times ^{4}P_{r} = 6 \times ^{5}P_{r-1}.$

How many $3$-digit odd numbers can be formed using the digits $1, 2, 3, 4, 5, 6, 7, 8, 9$ if repetition of digits is not allowed?

All possible numbers are formed using the digits $1, 1, 2, 2, 2, 2, 3, 4, 4$ taken all at a time. The number of such numbers in which the odd digits occupy even places is

There are $10$ distinct letters of the English alphabet. Words of $5$ letters are formed using these letters. How many such words can be formed if at least one letter is repeated?

Vedclass Test Series

Exam Paper Generator

Online Exam Module