XXSumanXxidn
Answered

IDNLearn.com provides a platform for sharing and gaining valuable knowledge. Our experts provide timely, comprehensive responses to ensure you have the information you need.

In how many ways can Anna arrange 2 math books, 3 physics books, and 5 chemistry books on her shelf if all books of the same subject must be adjacent? (The books are distinguishable.)
​

Sagot :

Mhanifaidn

Answer:

  • 8640 ways

Step-by-step explanation:

Arranging the books of each subject:

Math:

  • Combination of 2 books → 2! = 2

Physics:

  • Combination of 3 books → 3! = 6

Chemistry:

  • Combination of 5 books → 5! = 120

We also need to consider the subjects.

There are 3 subjects, kept separately, they will be arranged in 3! = 6 ways

So the total number of combinations is:

  • 2*6*120*6 = 8640
Manissaha129idn

Answer:

  • 2 maths books can be arranged as (2!=2) ways
  • 3 physics books can be arranged as (3!=6) ways
  • 5 chemistry books can be arranged as (5!=120) ways
  • Books can be arranged in suject-wise in (3!=6) ways

Hence, total ways are (2×6×120×6) ways =8640 ways.

8640 is the right answer.

Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. Discover the answers you need at IDNLearn.com. Thank you for visiting, and we hope to see you again for more solutions.