Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Three different types of gift boxes are distributed to each of the six employees seated in a row, ensuring that no two adjacent employees receive the same type of gift box. How many diffe

Three different types of gift boxes are distributed to each of the six employees seated in a row, ensuring that no two adjacent employees receive the same type of gift box. How many different ways can the employees receive the gift box?

Option: 1

86


Option: 2

90


Option: 3

96

 


Option: 4

78


Answers (1)

best_answer

Let us consider the employees to be E1, E2, E3, E4, E5, and E6.

Consider A, B, and C to be three types of gift boxes.

E1 can get any of the 3 from A, B, and C in 3 ways.

E2 can get any of the 2, other than what A got in 2 ways.

E3, E4, E5, and E6 each can get different gift boxes in 2 ways

Thus, the total number of ways in which distribution is given by,

3\times 2\times 2\times 2\times 2\times 2=96

Therefore, the number of ways in which the distribution of gift boxes can be done in 96 ways

 

Posted by

jitender.kumar

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Mains 2025 January 24 shift 2 easiest so far; memory-based questions, section-wise difficulty level
anam-khan

JEE Mains 2025 January 24 shift 1 unofficial answer keys out; question paper solutions
anam-khan

JEE Main is ‘business’ today; parents link expensive education, coaching, IIT fee hike to student suicides

Latest Question