Many Calculators or Computers Cannot Directly Calculate 70 ! or Higher

question 131

Multiple Choice

Many calculators or computers cannot directly calculate 70 ! or higher. When $\mathrm { n }$ is large, $\mathrm { n }$ ! can be approximated by $n ! = 10 \mathrm {~K}$ , where $\mathrm { K } = ( \mathrm { n } + 0.5 ) \log \mathrm { n } + 0.39908993 - 0.43429448 \mathrm { n }$ .
Evaluate 95 ! using the approximation given above.

• A) \(1.059 \times 10 ^ { 147 }\)
• B) \(1.032 \times 10 ^ { 148 }\)
• C) \(1.087 \times 10 ^ { 394 }\)
• D) \(1.480 \times 10 ^ { 2 }\)

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Definitions:

National Union Leadership

The top-level executives or officers who oversee and direct union activities at the national level.

Economic Goals

Objectives that individuals, businesses, or governments aim to achieve to ensure sustainable economic growth and development.

Industrial Unionism

A labor union organizing method where all workers in the same industry are organized into the same union, regardless of skill or trade.

Job Control Unionism

A labor relations strategy focused on the collective negotiation of work roles, conditions, and terms of employment by unions to protect workers’ interests.