Find the number of possibilities in the arrangment of the letters in the word "algebra"

Permutation and combination style problem. Find the number of possibilities.
in Geometry Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

The word "algebra" has 7 letters but only 6 distinctly different letters. The number of permutations of 7 different objects is 7! (=7*6*5*4*3*2*1)=5040. The two a's means that half this number would contain a reciprocal arrangement, because either 'a' could be positioned where its duplicate is. Therefore, the number of permutations is halved: 2520.

by Top Rated User (1.2m points)

Related questions

1 answer
what do the letters in pre-algebra mean?
asked Jan 4, 2012 in Algebra 1 Answers by Lori Level 1 User (120 points) | 1.1k views
3 answers
In howmany ways can the letters of word STATISTICS be arranged?
asked Aug 2, 2012 in Calculus Answers by Clement.Morbilly Level 1 User (120 points) | 8.2k views
0 answers
what the possible word of this letters ggvooekzxnee
asked Apr 9, 2013 in Word Problem Answers by anonymous | 410 views
1 answer
Eliminate Possibilities
asked Jul 17, 2018 in Word Problem Answers by Debra L | 1.1k views
1 answer
Eliminate Possibilities
asked Jul 16, 2018 in Word Problem Answers by Deb65 Level 1 User (560 points) | 436 views
1 answer
if r<-1 and r>0 what are the possibilities
asked Feb 14, 2016 in Algebra 1 Answers by anonymous | 454 views
1 answer
Eliminating possibilities
asked Nov 12, 2014 in Word Problem Answers by anonymous | 1.5k views
1 answer
basic algebra word problem, find the speed
asked Sep 29, 2013 in Word Problem Answers by anonymous | 834 views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!

Most popular questions within the last 3000 days

  1. 50+50-25X0+2+2= (19)
  2. it takes 10 road workers 5 days to complete a road repair when working 2 hours a day.Working at the same pace,how many days will it take 2 people working 5 hours a day to finish it? (3)
  3. Solve 15 -1(12÷4+1)? (4)
  4. 8:4(5+2) (3)
  5. How can i represent 1/3; 3/3; 7/3; 10/3 and 15/3 on a number line? (1)

Most popular tags

87,516 questions
100,279 answers
2,420 comments
732,490 users