Line up At the beginning of class, Charise's teacher makes a special offer. She will dismiss the class early if they can make all possible arrangements with the 15 students in the class in a single-file line. How many such arrangements are there? Should the class take the offer? Explain.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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7.
Line up At the beginning of class, Charise's teacher makes a special offer.
She will dismiss the class early if they can make all possible arrangements
with the 15 students in the class in a single-file line. How many such
arrangements are there? Should the class take the offer? Explain.
Transcribed Image Text:7. Line up At the beginning of class, Charise's teacher makes a special offer. She will dismiss the class early if they can make all possible arrangements with the 15 students in the class in a single-file line. How many such arrangements are there? Should the class take the offer? Explain.
Expert Solution
Step 1

The objective is to obtain the no. of possible arrangements that can be made with 15 available students in a single-file line.

Considering for n available objects, the no. of ways the objects can be arranged, provided that the order of the objects is taken into account is given as: n!=1×2×3×...×n-1×n.

 

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