Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 11-science Answered

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 | 29 Nov, 2016, 09:51: PM
answered-by-expert 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 " violent " space be space arranged space so space that space vowels space occupy space only space the space odd space places
equals 4 factorial cross times 4 factorial space equals 576
Answered by Vijaykumar Wani | 30 Nov, 2016, 10:48: AM

Concept Videos

CBSE 11-science - Maths
Asked by tharshini8456157 | 27 Nov, 2023, 10:32: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by ismayilpmamu | 09 Apr, 2020, 10:10: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Kashifimam866 | 20 Feb, 2019, 05:58: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Sh1989kishore | 22 Oct, 2018, 10:12: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 13 Sep, 2016, 02:58: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×