Question
In the word ‘ PARACHUTE ’ all consonants are written
as their preceding letter and all vowels as their following letters. Now all letters are arranged alphabetically from left to right and all the repeated letters are eliminated. Then, how many such pairs of letters are there, each of which has as many letters between them in the word (in both forward and backward directions) as they have between them in the English alphabetical series?Solution
PÂ Â Â Â Â Â Â Â AÂ Â Â Â Â Â Â Â RÂ Â Â Â Â Â Â Â AÂ Â Â Â Â Â Â Â CÂ Â Â Â Â Â Â Â HÂ Â Â Â Â Â Â Â UÂ Â Â Â Â Â Â Â TÂ Â Â Â Â Â Â Â Â E OÂ Â Â Â Â Â Â Â BÂ Â Â Â Â Â Â Â QÂ Â Â Â Â Â Â Â BÂ Â Â Â Â Â Â Â BÂ Â Â Â Â Â Â Â GÂ Â Â Â Â Â Â Â VÂ Â Â Â Â Â Â Â SÂ Â Â Â Â Â Â Â F BÂ Â Â Â Â Â Â Â BÂ Â Â Â Â Â Â Â BÂ Â Â Â Â Â Â Â FÂ Â Â Â Â Â Â Â Â GÂ Â Â Â Â Â Â Â OÂ Â Â Â Â Â Â Â QÂ Â Â Â Â Â Â Â SÂ Â Â Â Â Â Â Â V BÂ Â Â Â Â Â Â Â FÂ Â Â Â Â Â Â Â Â GÂ Â Â Â Â Â Â Â OÂ Â Â Â Â Â Â Â SÂ Â Â Â Â Â Â Â V Pairs formed = FG
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