Questions
Number of ways in which 30 identical things are distributed among six persons is
a
17C5 if each gets odd number of things
b
16C11 if each gets odd number of things
c
14C5 if each gets even number of things (excluding 0)
d
15C10 if each gets even number of things (excluding 0)
detailed solution
Correct option is A
Let person Pi get xi number of things such thatx1+x2+x3+x4+x5+x6=30If xi is odd or xi=2λi+1, where λi≥0, then2λi+λ2+λ3+λ4+λ5+λ6+6=30or λ1+λ2+λ3+λ4+λ5+λ6=12Then number of solutions is 12+6−1C6−1=17C5. If xi is evenor xi=2λI, where λi≥1, then2λi+λ2+λ3+λ4+λ5+λ6=30or λi+λ2+λ3+λ4+λ5+λ6=15Therefore, required number of ways is 15−1C6−1=14C5.Talk to our academic expert!
Similar Questions
The number of even divisors of the number N = 12600 is
799 666 8865
support@infinitylearn.com
6th Floor, NCC Building, Durgamma Cheruvu Road, Vittal Rao Nagar, HITEC City, Hyderabad, Telangana 500081.
free study material
JEE
JEE Mock Tests
JEE study guide
JEE Revision Notes
JEE Important Questions
JEE Sample Papers
JEE Previous Year's Papers
NEET
NEET previous year’s papers
NEET important questions
NEET sample papers
NEET revision notes
NEET study guide
NEET mock tests
Popular Books
HC Verma Part 1HC Verma Part 2RS AgarwalRD SharmaLakhmir SinghDK GoelSandeep GargTS GrewalNCERT solutions
Class 12 NCERT SolutionsClass 11 NCERT SolutionsClass 10 NCERT SolutionsClass 9 NCERT SolutionsClass 8 NCERT SolutionsClass 7 NCERT SolutionsClass 6 NCERT Solutions
