A golf-course architect has five linden trees, three white birch trees, and two bald cypress trees to plant in a row along a
2 answers:
Answer: 2520
<h3>Explanation</h3>To find the number of ways to arrange something, use factorial (symbol: !) This will multiply the number and all the numbers below it.
E.g. 4! = 4×3×2×1 = 24, which is the number of ways you can arrange 4 objects.
Hence, since there are 10 trees, 10! = 3628800
However, the trees are not unique. This means that some of the trees are the same - like the 'two bald cypress trees'. To fix this, we need to divide by the numbers of non-unique trees (to get rid of duplicates):
(5 linden trees, 3 white birch trees, 2 bald cypress trees)
This will give us the final answer of 2520
<em>(Note: to use factorial on a casio scientific caluclator, press [SHIFT] + [x⁻¹] )</em>
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Answer:
- 23
Step-by-step explanation:
We could do this the long way and expand the whole product or note that the terms arise from the product of the a³ and a terms and the product of the a² and a² terms, that is
4a³ × 3a = 12
+ 5a² × - 7a² = - 35
Summing gives
12 - 35
= - 23
with coefficient - 23