Q)In how many ways can the letters of the word "violent" be arranged so that vowels occupy only the odd places?

Asked by araima2001 | 29th Nov, 2016, 09:51: PM

Expert Answer:

In space the space word space VIOLENT space there space are space 7 space letters comma space out space of space which space 3 space are space vowels space and space 4 space are space consonents.

There space are space 4 space odd space positions space in space the space word space VIOLENT.
In space 4 space odd space positions space 3 space vowels space can space be space arranged space in space straight P presuperscript 4 subscript 3 space space ways space equals fraction numerator 4 factorial over denominator left parenthesis 4 minus 3 right parenthesis factorial end fraction equals 4 factorial

As space vowels space will space occupy space 3 space positions comma space there space are space 4 space positions space left space for space consonents.

There space are 4 space consonents space in space the space word space VIOLENT.
These space 4 space consonents space can space be space arrenged space in space remaining space positions space in space space straight P presuperscript 4 subscript 4 space space ways space equals 4 factorial


The space number space of space ways space in space which space the space letters space of space the space word space

Answered by Vijaykumar Wani | 30th Nov, 2016, 10:48: AM