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Question: The probability that in a random arrangement of the letters of word ‘UNIVERSITY’, the two I’s do not...

The probability that in a random arrangement of the letters of word ‘UNIVERSITY’, the two I’s do not come together is

A

4/5

B

1/5

C

1/10

D

9/10

Answer

4/5

Explanation

Solution

P = ⌊8×9C2×⨆2⌊2⨆10⌊2\frac { \left\lfloor 8 \times { } ^ { 9 } \mathrm { C } _ { 2 } \times \frac { \bigsqcup 2 } { \lfloor 2 } \right. } { \frac { \bigsqcup 10 } { \lfloor 2 } } = 810=45\frac { 8 } { 10 } = \frac { 4 } { 5 }