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serious [3.7K]
2 years ago
13

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 sub

ject must be adjacent? (The books are distinguishable.)
​
Mathematics
2 answers:
Rina8888 [55]2 years ago
8 0

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.

<h2><u>8640</u> is the right answer.</h2>
svetlana [45]2 years ago
7 0

Answer:

  • 8640 ways

Step-by-step explanation:

Arranging the books of each subject:

<u>Math</u>:

  • Combination of 2 books → 2! = 2

<u>Physics</u>:

  • Combination of 3 books → 3! = 6

<u>Chemistry</u>:

  • 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

<u>So the total number of combinations is:</u>

  • 2*6*120*6 = 8640
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