Coprime positive integer, Mathematics

Assignment Help:

6 male students and 3 female students sit around a round table. The probability that no 2 female students sit beside each other can be expressed as a/b, where a and b are coprime positive integers. What is the value of a+b?

Solution) For no female to sit beside each other the females should sit in alternate places.
let the males also occupy alternate places then the no. of arrangements for male= (6-1)!=5!  (circular permut.)
the females can be give the 6 vacant places but there are only 3 female so arrangements= 6-P-3=20
hence total no. of favourable outcomes= 20 . 5!
and total outcomes= (9-1)!=8!
hence P(e)= 20.5!/8!=20/8.7.6=5/84
HENCE a+b=5+84=89(ANS)


Related Discussions:- Coprime positive integer

Show that of all right triangles inscribed in a circle, Show that of all ri...

Show that of all right triangles inscribed in a circle, the triangle with maximum perimeter is isosceles.

Determine the mean of the subsequent numbers, Determine the mean of the sub...

Determine the mean of the subsequent numbers: Example: Determine the mean of the subsequent numbers: 5, 7, 1, 3, 4 Solution: where x'          =

Chp 8 Study, Center and Radius 1)(x+2)^2-(y-3)^2=4

Center and Radius 1)(x+2)^2-(y-3)^2=4

Subtract, Ask question Minimum 100 words accepted# 1000-101

Ask question Minimum 100 words accepted# 1000-101

Simultaneous equations, i need a step by step guide to answering simultaneo...

i need a step by step guide to answering simultaneous equation for gcses

If all the tickets are the similar price what was the cost, The total ticke...

The total ticket sales for a soccer game were $1,260; 210 tickets were purchased. If all the tickets are the similar price, what was the cost of a ticket? Divide the total sale

FRACTION, HOW TO ADD MIXED FRACTION

HOW TO ADD MIXED FRACTION

ALJEBRA, HOW TO FIND 2SQUARE *7 CUBE

HOW TO FIND 2SQUARE *7 CUBE

Subtraction - vector arithmetic, Subtraction - Vector arithmetic Compu...

Subtraction - Vector arithmetic Computationally, subtraction is very similar.  Given the vectors a → = (a 1 , a 2 , a 3 ) and b → = (b 1 , b 2 , b 3 ) the difference of the t

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd