Arranging all the Letters of a Word where all the letters are not different

No. Problems & Solutions [Click Hide/Show to display the solutions below the question]
01.
The letters of SUCCESS are arranged at random. The probability that the vowels occupy even places is

Solution
[1/7]

02.
In a random arrangement of the letters of the word ďCOMMERCEĒ. Find the probability that all the vowels come together

Solution
[3/28]

03.
If the letters of the word ASSASSINĒ are written down at random in a row, the probability that no two sís occur together is

Solution
[3/28]

04.
The letters of the word ARRANGE are arranged at random. Find the probability that
(i) the two Rís come together
(ii) the two Rís do not come together
(iii) the two Rís and the two Aís come together
(iv) the two Rís come together and the two Aís do not come together

Solution
[2/7; 5/7; 2/21, 4/35; 4/21]

05.
Define the Event and identify the number of favourable choices in the following cases
a) What is probability that 4 Iís appear consecutively in the word MISSISSIPPI assuming that the letters are arranged at random
b) Find the probability that in a random arrangement of the letters of the word UNIVERSITY, the two Iís do not come together.
c) The letters of the word ACCOUNTANCY are arranged in a row at random. Find the probability that (i) all cís come together and (ii) all c's come together and all a's may not come together.
d) When all the letters of the word EAGLET are arranged in a row, that probability of getting a word in which Eís occupy central position is

Solution
[2/7; 5/7; 2/21, 4/35; 4/21]

No. Problems for Practice
01.
The probability that in a random arrangement of letters of the word COLLEGE the two Eís do not come together is
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