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.)
2 answers:
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>
Answer:
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>
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