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  • 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

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