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

Ogive, How to construct a histogram into an ogive

How to construct a histogram into an ogive

Calculate latest triangular area sail for his boat, Rick is order a latest ...

Rick is order a latest triangular sail for his boat. He needs knowing the area of the sail. Which formula will he use? The area of a triangle is 1/2 times the length of the bas

Find how much more space than the toy it will cover, A Solid toy in the for...

A Solid toy in the form of a hemisphere surmounted by the right circular cone of height  2cm  and  diameter  of  the  base  4  cm .If  a right  circular  cylinder circumscribes the

Determine the equation of the line, Example :  Determine the equation of th...

Example :  Determine the equation of the line which passes through the point (8, 2) and is, parallel to the line given by 10 y+ 3x = -2 Solution In both of parts we are goi

Algegra, what''s the main purpose of algebra in our daily life

what''s the main purpose of algebra in our daily life

Probability, an insurance salesman sells policies to 5 men, all of identica...

an insurance salesman sells policies to 5 men, all of identical age in good health. the probability that a man of this particular age will be alive 20 years hence is 2/3.Find the p

Diffrentiation, y=f(a^x)   and f(sinx)=lnx find dy/dx? Solution) dy/dx exi...

y=f(a^x)   and f(sinx)=lnx find dy/dx? Solution) dy/dx exist only when 0 1 as the function y = f(a^x) itself does not exist.

Marketing research, In pharmaceutical product research doctors visit the pl...

In pharmaceutical product research doctors visit the place to learn what

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