Books arranged on a shelf with books of the same subject together

This type of question, asked 2 times: 2 May 2023 S1, 13 May 2026 S1. All 2 questions below, oldest first.

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Question 1
2 May 2023 S1
102 $If 3 books on Physics, 2 books on Chemistry and 4 books on Mathematics are to be arranged on a shelf so that all the Physics books are together and all the Mathematics books are together, then the number of such arrangements is$
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Question 2
13 May 2026 S1
55 $A teacher has 2 different books on English, 3 different books on physics, and 4 different books on mathematics. These books are to be placed on the shelf so that all books of the same subjects are together. The number of different ways this can be done is:$
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Question 1