using the result C (n,r) +C (n,r_1)=C(n+1,r),compute C(8,5)+C(8,4)
Answers
Answered by
6
C(8,5) +C(8,4) = C(9,5)
proved
C(8,5) + C(8,4)
=8!÷[5!×3!] + 8!÷[4!×4!]
Solve this
you get answer is 126.
C(9,5)
=9!÷[5!×4!]
Solve this
you get 126.
proved
proved
C(8,5) + C(8,4)
=8!÷[5!×3!] + 8!÷[4!×4!]
Solve this
you get answer is 126.
C(9,5)
=9!÷[5!×4!]
Solve this
you get 126.
proved
Attachments:
GANESHBA:
sir photo is not clear plz send once more
ok
sorry yr photo edit nhi ho paa rha hai
nahi change
sir app atlist done step by step sir
Answered by
1
Now using this we can state that
C(8,5) + C(8,4) = C(9,5)
C(9,5) = 9! / ( 5! * (9-5)! )
9! = 9*8*7*6*5*4*3*2*1
9! = 362880
5! = 5*4*3*2*1
5! = 120
(9-5)! = 4!
4! = 4*3*2*1
4! = 24
So,
9! / ( 5! * (9-5)! ) = 362880 / ( 120 * 24 )
= 362880 / 2880
= 126
Therefore , C(8,5) + C(8,4) = C(9,5) = 126
C(8,5) + C(8,4) = C(9,5)
C(9,5) = 9! / ( 5! * (9-5)! )
9! = 9*8*7*6*5*4*3*2*1
9! = 362880
5! = 5*4*3*2*1
5! = 120
(9-5)! = 4!
4! = 4*3*2*1
4! = 24
So,
9! / ( 5! * (9-5)! ) = 362880 / ( 120 * 24 )
= 362880 / 2880
= 126
Therefore , C(8,5) + C(8,4) = C(9,5) = 126
Attachments:
Similar questions