Question

Answer this please , non-sense/Copied/Plagiarized Incorrect/ Incomplete/ Reported​

Answer 1

$\huge{\mathbb{\tt{QUESTION↓}}}$

1. in how many ways can you arrange five mathematics books,four science books,and three english books, on a shelf such as that books of the same subject are kept together.

$\huge{\mathbb{\tt{SOLUTION↓}}}$

$\textsf{ Given that: M=5 , S=4 , E=3}$

$\begin{gathered}\\\end{gathered}$

$\textsf{ Using the Linear Permutation:}$

For Mathematics=5

$\sf{P=n!}P=n!$

$\sf{P=5!}P=5!$

$\sf{P=5×4×3×2×1}$

$\sf{P=120}$

$\begin{gathered}\\\end{gathered}$

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For Science=4

P=n!}

P=4!

P=4×3×2×1

P=24

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For English=3

P=n!

P=3!

P=3×2×1

P=6

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Multiply all the permutations:

P=120×24×6

P=17,280

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$\huge{\mathbb{\tt{ANSWER↓}}}$

There are 17,280 ways we can arrange in a shelf.

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