Question

Evaluate the given expression and express the result using the usual format for writing numbers (Instead of scientific notation)

27c3 = ?

Answer 1

Answer:

${^{27}}C_{3}=2925$

Step-by-step explanation:

To evaluate ${^{27}}C_{3}$

Using the formula

${^n}C_{r}=\frac{n!}{r!(n-r)!}\\\\{^{27}}C_{3}=\frac{27!}{3!(27-3)!}\\\\{^{27}}C_{3}=\frac{27!}{3!24!}\\\\{^{27}}C_{3}=\frac{(27)(26)(25)}{3.2.1}\\\\{^{27}}C_{3}=2925$