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.
<h3><em><u>For Mathematics=5</u></em></h3>
<h2 /><h2>--------------------------------------------------------------------------------</h2><h2> </h2><h3><em><u>For Science=4</u></em></h3>
P=n!}
P=4!
P=4×3×2×1
P=24
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<h3><em><u>For English=3</u></em></h3>
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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There are <u>17,280</u> ways we can arrange in a shelf.
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