The principal wants to arrange 5 students on the platform...

The principal wants to arrange 5 students on the platform such that the boy SUNIL occupies the second position and such that the girl GITA is always adjacent to the girl NITA. How many such arrangements are possible?
(a) 12
(b) 8
(c) 14
(d) 16

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Grouping or Treating Blocks as Single Units

When certain items must be adjacent, they can be considered as a single combined unit. This simplifies the process by reducing the total number of items to be arranged, after which the internal arrangements of the grouped items must be accounted for separately.

Multiplication Principle

This core combinatorial principle states that if a process can be broken down into sequential steps with a specific number of options at each step, the total number of outcomes is the product of the number of options available at each individual step.

Permutation

This concept involves arranging distinct items in a specific order. Permutations are fundamental in combinatorial problems where the order of placement matters.

Fixed Position Restrictions

In many permutation problems, one or more items are assigned to fixed positions, which reduces the number of available choices for arranging the remaining items. Understanding this helps in accounting for constraints effectively.

Transcript

Please give Ace some feedback