SOLUTION: In how many ways can the letters of the word 'PROBABILITY' be arranged if
1)it begins with 'I'
2)it must start with a consonant and end witg a vowel
3)'A' must be exactly in the
Algebra.Com
Question 1024646: In how many ways can the letters of the word 'PROBABILITY' be arranged if
1)it begins with 'I'
2)it must start with a consonant and end witg a vowel
3)'A' must be exactly in the middle
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In how many ways can the letters of the word 'PROBABILITY' be arranged if
1)it begins with 'I'
-------
2 ways to place the I leaving 10 letters to arrange in 10!/(2!) ways
Ans: 2*10!/2! = 10!
------------------------------
2)it must start with a consonant and end with a vowel
4 vowels ; 7 consonants
(4/2)(7/2) = 7 ways to place the 1st and last letters
9! ways to arrange the in between set
Ans: 7*9! arrangements
----------------------
3)'A' must be exactly in the middle
---
I'll leave that to you.
Cheers,
Stan H.
----------
RELATED QUESTIONS
(a) In how many different ways can the letters in the word
ARRANGEMENTS be arranged?... (answered by math_helper,ikleyn)
1. In how many ways can the letters of the word POLICEMAN be arranged if the "word" must... (answered by Edwin McCravy)
(a) in how many ways can the letters of the word be arranged in a line?
(b) In how many... (answered by greenestamps,math_tutor2020)
How many ways can the letters in the word smile be arranged if the first letter must be a (answered by Edwin McCravy)
1. how many different ways can the letters "SIMILAR" be arranged if letter "I" must be... (answered by sudhanshu_kmr)
Please help. Completely lost...
In how many ways can the letters in the word... (answered by jim_thompson5910)
In how many different ways can the letters of the word “trigonometry” be arranged if a... (answered by sudhanshu_kmr)
how many ways can there the letters in the word capitol be arranged if the first letter... (answered by ewatrrr)
(a) How many different ways can 2 letters from the word SELECT be arranged?
(b) How many (answered by ikleyn,math_tutor2020)