Evaluate the Factorial Expression $\frac { \mathrm { n } ! } { \mathrm { r } ! ( \mathrm { n } - \mathrm { r } ) ! }$

question 175

Multiple Choice

Evaluate the factorial expression.
- $\frac { \mathrm { n } ! } { \mathrm { r } ! ( \mathrm { n } - \mathrm { r } ) ! }$ , where $\mathrm { n } = 38$ and $\mathrm { r } = 9$

• A) 50,616
• B) 1406
• C) \(1,771,560\)
• D) \(163,011,640\)

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Definitions:

FV

A financial term representing the future value of an investment, accounting for factors like interest rates and time.

Quarterly Compounding

The process of calculating interest on both the initial principal and the accumulated interest over four periods within a year.

Semi-Annually

Occurring twice a year; typically referring to the frequency at which interest is paid or calculated.

Future Value

The amount of money an investment is expected to grow to over a period of time, assuming a specific interest rate.