Combinations/ Permutations
Favorites|Homepage
Subscriptions | sitemap
HOME > > Combinations/ Permutations

Combinations/ Permutations

[From: ] [author: ] [Date: 12-05-17] [Hit: ]
.Then the result is:1*5*7! = 5(1*2*3*4*5*6*7).OK!B) Without restrictions........
I've been stuck on these two problems for a while now...
Using the word "ADJUSTING"
A: How many of these nine-letter arrangements have a consonant in the 5th position and a J in the 6th?
B: How many different 9 letter arrangements can be made?
C: If a nine-letter arrangement is selected at random, what is the probability that a consonant is 5th and J is 6th?
Thanks!

-
A) we have 1 options to put J in 6th position.... and 5 options to put a consonant in the 5th position...
and after putting J in 6th and a consonant in 5th... there are 7 letters for the other positions...

Then the result is: 1*5*7! = 5(1*2*3*4*5*6*7). OK!

B) Without restrictions... the the total is 9! = 1*2*3*4*5*6*7*8*9 OK!

C) To find the probability just divide the total 9! by 5*7! Then it is 9*8/5 OK

-
V.: A, U, I
C.: D, J, S, T, N, G

A) 5th position: 6C1, 6th positive: 1. Other positions: 7!
Answer: 6*7!

B) 9!

C) 6/9!
1
keywords: Combinations,Permutations,Combinations/ Permutations
New
Hot
© 2008-2010 http://www.science-mathematics.com . Program by zplan cms. Theme by wukong .