what is the number of distinct arrangements of the letters of the word UGCCSIR so that U and I cannot come together?
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1800 arrangements of the letters of the word UGCCSIR so that U and I cannot come together
Step-by-step explanation:
UGCCSIR
Number fo letters = 7
C is repeated twice
total number of arrangements = 7!/2! = 2520
Let say UI comes together
take them as 1 and U & I can be arranged in two ways
5 other Letter + UI as one letter = 6 Letter
number of arrangements
= 2 * 6!/2!
= 720
number of distinct arrangements of the letters of the word UGCCSIR so that U and I cannot come together = 2520 - 720 = 1800
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