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Question

a) How many different words can be formed using the letters of the word HARYANA?
b) How many of these begin with H and end with N?
c) In how many of these H and N are together?

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Solution

HARAYANA
(1) No. of words that can be formed=7!3!=7×6×5×4×3!3!=840 words
(2) H_____N
No. of such words=5!3!=5×4×3!3!=20 words
(3) H andN together be taken as one letter and can be arranged among themselves in 2! also A is repeated 3 times.
No. of such wordss=2!×6!3!=2×6×5×4×3!3!=240 words

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