Answer:
Number of ways to select a president, vice president, treasurer and secretary = 11703240
Step-by-step explanation:
Total number of archaeology club members = 60
We have to select a president, vice president, treasurer and a secretary.
So the order of selecting each post holders matters,
Therefore, we have to find the permutation
Different ways to select these post holders = [tex]^{n}P_{r}[/tex]
Where n = Total number of members
r = Number of posts
Number of ways = [tex]^{60}P_{4}[/tex]
= [tex]\frac{60!}{(60-4)!}[/tex]
= [tex]\frac{60!}{56!}[/tex]
= [tex]\frac{60\times 59\times 58\times 57\times 56!}{56!}[/tex]
= 60 × 59 × 58 × 57
= 11703240
