Number of permutations of the letters of the word BANGLORE such that the string…

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Number of permutations of the letters of the word BANGLORE such that the string ANGLE appears together in all permutations, is

1
2
3
4

Treat the fixed string ANGLE as one block. Remaining letters from BANGLORE are B, O, R. So we arrange 4 distinct items: {ANGLE, B, O, R}.

Number of permutations =4! = 24.

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