# How many different slates of officers are possible?

## How many different slates of officers are possible?

1,716 different slates
Thus, there are 1,716 different slates of officers possible.

How many ways are there to elect a president vice president secretary and treasurer from a club with 32?

Question 1176339: how many ways are there to elect a president, vice president, secretary, and treasurer, from a club with 32 members? Find answer, and list combination or permutation. There are 32*31*30*29 = 863040 ways.

### How many combinations of 4 selections are there?

You multiply these choices together to get your result: 4 x 3 x 2 (x 1) = 24. Combinations and permutations are often confused by students – they are related, but they mean different things and can lead to totally different interpretations of situations and questions.

What is the difference between permutation and combination?

A permutation is a method of arranging all the members in order. The combination is selection of elements from a collection.

## What is permutation combination?

Permutation and combination are the ways to represent a group of objects by selecting them in a set and forming subsets. When we select the data or objects from a certain group, it is said to be permutations, whereas the order in which they are represented is called combination.

How many different combinations of ABCD are there?

Total possible arrangement of letters a b c d is 24.

### How many ways can a president vice president secretary and treasurer?

There are 5040 different ways a president, vice president, secretary, and treasurer can be selected.

How many ways can a president vice president and secretary be chosen from a club with 10 members round the answer to the nearest whole number?

Answer. 10 · 9 · 8 · 7 = 10! (10-4)! = P10,4 = 5040.

## How many different sets of 4 letters can be selected from the alphabet?

There are 4! words made from the exact set of 4 distinct letters, so we must divide the total by 4! to get the single word that is in alphabetical order. Thus: (26×25×24×23)/4! total = 14950.

How many people can fill the vice president’s seat?

And then the Vice President’s seat – how many can fill that? 1 person is already in the President’s seat, so there’s 11 people who can. And then then the Secretary’s seat – 2 people are already in seats and so 10 could fill this one.

### Who are the three officers of a club?

Permutations and Combinations: Word Problem 0 Three officers – a president, a treasurer, and a secretary – are to be chosen from among four people: Alice, Bob, Cyd, and Dan

How many elementary school students can be appointed to two positions?

Ten elementary school students are eligible to be appointed to two positions: attendance taker and lunch counter. How many unique arrangements of these two positions are possible? How do you find the number of permutations of 5 CDs if you have a total of 23 CDs?