SOLUTION: A chair and a co-chair are to be chosen from a group consisting of 31 people. How many different choices of officers are possible if A and B will not serve together?

Algebra.Com
Question 1145876: A chair and a co-chair are to be chosen from a group consisting of 31 people. How many different choices of officers are possible if A and B will not serve together?
Answer by ikleyn(52780)   (Show Source): You can put this solution on YOUR website!
.

31 choice options for the first position, and

30 remaining choice options for the second position.


The order is important, so these items are PERMUTATIONS.


The answer is 31*30 = 930 different choices.


RELATED QUESTIONS

A committee of 4 people is to be chosen from a group of 19 people. One person is the... (answered by sudhanshu_kmr)
In how many ways can a committee be formed with a chair, a secretary, a treasurer, and... (answered by edjones)
A committee of 5 is to be selected from a group of 21 people. How many different... (answered by stanbon)
a committee of five is going to be selected from a group of twenty people. How many... (answered by ikleyn)
From 15 people how many ways are there to select a committee consisting of a... (answered by ikleyn)
A committee of four is to be selected from a group of sixteen people. How many different (answered by stanbon)
Three of six people are going to be chosen for a committee. the positions on the... (answered by stanbon)
3 of 6 people are going to be chosen for a committee. The positions on the committee will (answered by solver91311)
A president, treasures, and secretary, all different, are to be chosen from a club... (answered by richwmiller)