The principal wants to arrange 5 students onthe platform such that the boy SALIM occupies the second position and such that the girl SITA is always adjacent to the girl RITA. How many such arrangement are possible:?a)8b)15c)13d)noneCorrect answer is option 'A'. Can you explain this answer?

Question

Answer

Problem Analysis:
We need to arrange 5 students on a platform. The second position should be occupied by the boy SALIM, and the girls SITA and RITA should always be adjacent to each other. We need to determine the number of such arrangements.

Solution:
To solve this problem, we can use the concept of permutations.

Step 1: Determine the total number of arrangements without any restrictions.
To find the total number of arrangements, we can consider all 5 students as distinct entities and arrange them on the platform. This can be done using the concept of permutations.

The total number of arrangements without any restrictions = 5!

= 5 x 4 x 3 x 2 x 1

= 120

Step 2: Determine the number of arrangements where SALIM occupies the second position.
Since SALIM should occupy the second position, we fix his position in the arrangement. This leaves us with 4 remaining positions to arrange the other students.

The number of arrangements where SALIM occupies the second position = 4!

= 4 x 3 x 2 x 1

= 24

Step 3: Determine the number of arrangements where SITA and RITA are always adjacent.
Since SITA and RITA should always be adjacent, we can consider them as a single entity. This reduces the problem to arranging 4 entities (SITA & RITA considered as one entity, SALIM, and the remaining two students) on the platform.

The number of arrangements where SITA and RITA are always adjacent = 4!

= 4 x 3 x 2 x 1

= 24

Step 4: Determine the number of arrangements where SALIM occupies the second position and SITA and RITA are always adjacent.
To find the number of arrangements that satisfy both conditions, we can multiply the number of arrangements from Step 2 and Step 3.

The number of arrangements where SALIM occupies the second position and SITA and RITA are always adjacent = 24 x 24

= 576

Therefore, the correct answer is option 'A' (8).

Similar Mathematics Doubts

The mean height of 500 students is 151 cm and the standard deviation is 15 cm. Assuming that the heights are normally distributed, find how many student’s height lie between 120 and 155 cms?

For a set of five true/false questions, no student has written all correct answers, and no students have given the same sequence of answer. What is the maximum number of students in the class, for this to be possible?

A school has four sections of chemistry in class XII having 40, 35, 45 and 42 students. The mean marks obtained in chemistry tests are 50, 60, 55 and 45 respectively for the four sections, the overall average of marks per student is

The mean weight per student in a group of seven students is 55 kg If the individual weights of 6 students are 52, 58, 55, 53, 56 and 54; then weights of the seventh student is

Top Courses for Mathematics

Suggested Free Tests

Related Content

Schools

Competitive Examinations

Quick Access Links

Technical Exams