Latest Book Aptitude Question SOLUTION: in how many ways can the letters of the word VICTORY be arranged so that consonants appear only in the even place?

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(#M40040829) BOOK Numerical Ability question maths Keep an EYE

in how many ways can the letters of the word VICTORY be arranged so that consonants appear only in the even place?

Asked In Book (10 years ago)

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madhugupta  (10 years ago)

There are 5 consonants (V,C,T,R,Y) & 2vowels (I,O) and 3 even places in which
2nd place v,c,t,r,y can arrange among themselves in 5! ways=120
4th place =4!=24 ways
6thplace=3!=6 ways
now vowels can arrange themselves in two ways for remaining places ,
now adding all i.e, 2+120+2+24+2+6+2= 158 ways

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apurba  (10 years ago)

There are 5 consonants (V,C,T,R,Y) & 2vowels (I,O) and 3 even places and 4 odd place.
even places are 2nd, 4th, and 6th
so at 2nd place we can arrange 5C1 AND
FOR 4th place 4C1
and for 6th place 3C1
so total 5C1*4C1*3C1=60
and at this place 3 latter can arrange them self in 3! ways
so total =60 *3!=3600 ways

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