Problem 4 of 1.2: Compute and compare the fc (a) 3! — 1! and (3 − 1)! - (b) 4! + 2! and (4+2)! (c) and (4)! 2!

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Chapter1: Combinatorial Analysis
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Computer and compare the following values:

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**Problem 4 of 1.2**: Compute and compare the following values:

(a) \(3! - 1!\) and \((3 - 1)!\)

(b) \(4! + 2!\) and \((4 + 2)!\)

(c) \(\frac{4!}{2!}\) and \(\left(\frac{4}{2}\right)!\)

(d) \(3 \cdot 2!\) and \((3 \cdot 2)!\)
Transcribed Image Text:**Problem 4 of 1.2**: Compute and compare the following values: (a) \(3! - 1!\) and \((3 - 1)!\) (b) \(4! + 2!\) and \((4 + 2)!\) (c) \(\frac{4!}{2!}\) and \(\left(\frac{4}{2}\right)!\) (d) \(3 \cdot 2!\) and \((3 \cdot 2)!\)
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Note: According to Bartleby guidelines, expert solve only one question and maximum three subparts of first three subparts.

Formula used; 

r!=r(r-1)....3x2x1

Notation

LHS=Left hand side 

RHS=Right hand side.

 

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Follow-up Question

Compute and compare the following values:

 

(d) \(3! \cdot 2!\) and \((3 \cdot 2)!\)
Transcribed Image Text:(d) \(3! \cdot 2!\) and \((3 \cdot 2)!\)
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