How many ways can the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members? a.
Permutation; Subscript 28 Baseline P Subscript 4 Baseline = 491,400
b.
Permutation; Subscript 24 Baseline P Subscript 4 Baseline = 255,024
c.
Combination; Subscript 28 Baseline C Subscript 4 Baseline = 20475
d.
Combination; Subscript 24 Baseline C Subscript 4 Baseline = 10626

A)

Step-by-step explanation:

Total number of members = 28

We are supposed to find the no. of ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members

When 1 member is selected for Chairman position

So, 27 members will be left for the selection for the position of Vice chairman

When 1 member out of 27  is selected for Vice chairman position

So,26 members will be left for the selection for the position of secretary

When 1 member out of 26  is selected for secretary position

So,25 members will be left for the selection for the position of treasurer

Permutation relates to the act of arranging all the members of a set into some sequence or order,

The combination is a way of selecting items from a collection, such that (unlike permutations) the order of selection does not matter.

So, we will use permutation over here

Formula

Substitute n = 28 and r = 4

So,

So, Option A is true

A)

Hence There are 491400 ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members.

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.

i dont know sorry

step-by-step explanation: