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

Answer this please , non-sense/Copied/Plagiarized Incorrect/ Incomplete/ Reported-example-1
User Datum Geek
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1 Answer

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\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}

--------------------------------------------------------------------------------

For Science=4

P=n!}

P=4!

P=4×3×2×1

P=24

--------------------------------------------------------------------------------

For English=3

P=n!

P=3!

P=3×2×1

P=6

--------------------------------------------------------------------------------

Multiply all the permutations:

P=120×24×6

P=17,280

--------------------------------------------------------------------------------


\huge{\mathbb{\tt{ANSWER↓}}}

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

#CarryOnLearning

#LetsEnjoyTheSummer

→XxKim02xX

User Andreas Loanjoe
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