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Question

How many words can be formed from the word INCREASE in which both E’s do not come together?

A 5040 Correct Answer Incorrect Answer
B 40320 Correct Answer Incorrect Answer
C 20160 Correct Answer Incorrect Answer
D 15120 Correct Answer Incorrect Answer
E 15210 Correct Answer Incorrect Answer

Solution

Total number of letters in the word INCREASE is 8. ∴ Total number of ways = 8!/2! Number of ways when 2 E’s are together = (7! 2!)/2! = 5040 ∴ Number of ways when 2 E’s are not together = 20160 – 5040 = 15120

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