In how many ways can the letter of word COMPUTER be arranged so that all vowels are always together

In how many ways can the letter of word COMPUTER be arranged so that all vowels are always together
#permutations #permutationsandcombinations #permutations_and_combinations #statistics #statisticalmethods #mathclass12th #basic_maths #math12
In how many ways can the letters of the word INTERVAL be arranged so that
a) all the vowels are always together?
b) the vowels may occupy only odd positions?
c) the relative positions of vowels and consonants are not changed?
In how many ways can the letters of the word LAPTOP be arranged so that
a) all the vowels are always together?
The Consonant May Never be Separated?
14. In how many ways can the letters of the word "MONDAY" be arranged? How many of
these arrangements do not begin with M? How many begin with M and do not end with Y?
15. Show thlat the number of ways in which the letters of the word
a) "COLLEGE" can be arranged so that the two E's always come together is 360.
b) "ARRANGE" can be arranged so that no two R's come together is 900.
16.
In how many ways can the letters of the word COMPUTER'be arranged so that
a) all the vowels are always together?
b) the vowels may occupy only odd positions?
c) the relative positions of vowels and consonants are not changed?
17. Find the number of arrangements of the letters of the word "Laptop" so that
a)
the vowels may never be separated.
b)
all consonants may not be together.
c)
they always begin with L and end with T.
d)
they do not begin with L but always end with T.
18. How many different words can be formed with all the letters of the word "Internet"if
a)
each word is to begin with vowel?
b) each word is to end with consonant?
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[@b-shahdarshb2612]

Condition a)&b) mean the same.
Vowels to be kept together, and vowels not to be seperated.

[@aryaanjum1]

Yes it's same

[@siddarajumarisimha8211]

Bro can u solve probability related problems

[@aryaanjum1]

I already uploaded so many videos of probability