Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • There are 2 books, 3 notes, 2 pens, and 3 pencils. How many different ways can a retailer come up with to group all the pens and pencils together?Optio

There are 2 books, 3 notes, 2 pens, and 3 pencils. How many different ways can a retailer come up with to group all the pens and pencils together?

Option: 1

60480


Option: 2

48580


Option: 3

52560

 


Option: 4

40460


Answers (1)

best_answer

Given that,

There are 2 books, 3 notes, 2 pens, and 3 pencils.

Consider 2 pens as 1 unit and 3 pencils as 1 unit.

The total number of items is 7.

So, the total number of ways for 10 items is 7!

The number of ways to choose the books is 2!

The number of ways to choose the notes is 3

Hence, the total number of ways is given by,

\begin{aligned} &7 ! \times 2 ! \times 3 !=7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 2 \times 3 \times 2\\ &7 ! \times 2 ! \times 3 !=60480 \end{aligned}

Therefore, the number of ways to arrange the items is 60480 ways.

Posted by

Ritika Jonwal

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

NTA shifts JEE Main 2025 upcoming exams at Prayagraj centres to Varanasi; here's why
anam-khan

JEE Main 2025 January 23 shift-2 moderate, no technical glitches; exam analysis, difficulty-level
anam-khan

Errors in JEE Main question paper 2025, two wrong MCQs in physics, maths, students claim

Latest Question