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viva [34]
4 years ago
8

Brooke has to set up 70 chairs in equal rows for the class talent show. But there is not room for more than 20 rows. What are th

e possible number of rows that Brooke could set up?
Mathematics
1 answer:
earnstyle [38]4 years ago
3 0
14 rows
10 rows
7 rows
5 rows
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32760 ways

Step-by-step explanation:

Given

Number of Candidates = 15

Job Positions = 4

Required:

Number of outcomes

This question represent selection; i.e. selecting candidates for job positions;

This question can be solved in any of the following two ways

Method 1.

The first candidate can be chosen from any of the 15 candidates

The second candidate can be chosen from any of the remaining 14 candidates

The third candidate can be chosen from any of the remaining 13 candidates

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Method 2:

This can be solved using permutation method which goes thus;

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Where n = 15 and r = 4

So;

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15P4 = \frac{15!}{11!}

15P4 = \frac{15*14*13*12*11!}{11!}

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15C4 = 32760

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