Question 46
Find the number of ways of arranging the letters of the word IMPORTANT such that "IMP" are always together in any order.
Solution
When IMP are always together, consider them as one group.
Number of ways of arranging IMP and other letters = 7!/2! = 7!/2!
IMP can be arranged in 3! ways.
Total number = 3!*7!/2! = 3*7!
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