An archaeology club has 60 members. How many different ways can the club select a president, vice president, treasurer, and secretary? There are nothing different slates of candidates possible.

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 =

Where n = Total number of members

r = Number of posts

Number of ways =

                            =

                            =

                            =

                            = 60 × 59 × 58 × 57

                            = 11703240

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions