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