Q.

The number of 5 letter words formed using the letters of DELHI begin and end with consonant with repetition is

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a

400

b

200

c

1125

d

300

answer is A.

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Detailed Solution

In the word DELHI

Consonants = {D, L, H},

 Consider 5 places

D, L , H

D, E, L, H, I

D, E, L, H, I

D, E, L, H, I

D, L , H

 

                                                                      

Fill the first and last places with consonants D, L, H in 3 ways. Each of the middle 3 places can be filled with D, E, L, H, I in 5 ways.

Total no. of permutations = 3x5x5x5x3=53x32

                                                                           = 125x9=1125

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