SOLUTION: a club with 10 members is to pick a president, vice president, treasurer, and secretary. If each office is to be held by one person and no person can hold 1 offices, in how many wa
Algebra.Com
Question 332800: a club with 10 members is to pick a president, vice president, treasurer, and secretary. If each office is to be held by one person and no person can hold 1 offices, in how many ways can those offices be filled?
Answer by jrfrunner(365) (Show Source): You can put this solution on YOUR website!
a club with 10 members is to pick a president, vice president, treasurer, and secretary. If each office is to be held by one person and no person can hold 1 offices, in how many ways can those offices be filled?
==
I think you must of meant "..no person can hold 'more than' 1 office..."
This is the case of the number of "different" ways to select 4 items out of 10.
where the order matters (who holds the president office matters) and no repetition is allowed. This is a permutation problem
--
so there are 10 choices for president
then after that there are 9 choices for VP
then afte P and VP there are 8 choices for Treasurer
and finally after P, VP and T, there are 7 choices left for Secretary.
So the number of ways to fill those offices with 10 candidates is
RELATED QUESTIONS
a club with 10 members is to pick a president, vice president, treasurer, and secretary. (answered by stanbon)
A club with eighteen members is to choose three officers: president,... (answered by ikleyn)
A club with 13 members is to choose three officers: president, vice-president,... (answered by ikleyn)
A club with 32 members is to select five officers (president, vice president, secretary,... (answered by Tatiana_Stebko)
A club with 34 members is to select five officers (president, vice president, secretary,... (answered by stanbon)
A club with 35 members is to select five officers (president, vice president, secretary,... (answered by ewatrrr)
2) A club elects a president, vice -president, and secretary-treasurer. How many sets of... (answered by The Troll Kid)
A math club has 30 members. During their acquaintance gathering, they have to choose 3... (answered by math_tutor2020,ikleyn)
A club with 27 members is to select five officers:President, Vice President,... (answered by stanbon)