Request a call back

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

CBSE Class 11-science Answered

<div>Q) Total number of permutation of "K" different things in a row taken not more than "r " at a time (each thing may be repeated any number of times ) is equal to</div> <div><img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=496d95db615ff71de14737985e1cd75c.png" alt="left parenthesis A right parenthesis k to the power of r minus 1 space space space left parenthesis B right parenthesis k to the power of r space space space space left parenthesis C right parenthesis fraction numerator k to the power of r minus 1 over denominator k minus 1 end fraction space space space space left parenthesis D right parenthesis fraction numerator k left parenthesis k to the power of r minus 1 right parenthesis over denominator k minus 1 end fraction" align="middle" /></div>
Asked by araima2001 | 06 Apr, 2017, 06:34: AM
Expert Answer
begin mathsize 16px style When space we space arrange space one space things space at space straight a space time comma space the space number space of space possible space permutations space is space straight k.
When space we space arrange space them space two space at space straight a space time space the space number space of space possible space permutations space are space straight k cross times straight k equals straight k squared
and space so space on. space Thus space the space total space number space of space permutations space are
straight k plus straight k squared plus straight k cubed plus....... straight k to the power of straight r equals fraction numerator straight k open parentheses straight k to the power of straight r minus 1 close parentheses over denominator straight k minus 1 end fraction space space space space space space space space space open parentheses For space straight n greater than 1 close parentheses
end style
Answered by Sneha shidid | 06 Apr, 2017, 09:31: AM
CBSE 11-science - Maths
Asked by lovemaan5500 | 02 Feb, 2019, 08:29: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by lovemaan5500 | 02 Feb, 2019, 08:23: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by yogeshkumar pathak | 31 Jan, 2019, 11:56: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
If space straight P presuperscript 2 straight n plus 1 end presuperscript subscript straight n minus 1 end subscript colon straight P presuperscript 2 straight n minus 1 end presuperscript subscript straight n equals 3 colon 5 comma space then space find space straight n.
Asked by Topperlearning User | 02 Jun, 2015, 01:59: PM
ANSWERED BY EXPERT

Start your hassle free Education Franchisee and grow your business!

Know more
×