A committee of six Congressmen will be selected from a group of eight Republicans and four Democrats. Find the number of ways of
1 answer:
Answer:
224
Step-by-step explanation:
Given that a committee of six Congressmen will be selected from a group of eight Republicans and four Democrats.
Total no of ways of selecting 6 persons from the given list
= taking 6 persons out of 12 persons
=
Favourable ways
= ways of selecting 3 republicians
= 3 republicians and 3 democrats
=
the number of ways of obtaining a committee with exactly three Republicans.
= 224
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Answer:
The complete solution is
Step-by-step explanation:
Given differential equation is
3y"- 8y' - 3y =4
The trial solution is
Differentiating with respect to x
Again differentiating with respect to x
Putting the value of y, y' and y'' in left side of the differential equation
The auxiliary equation is
The complementary function is
y''= D², y' = D
The given differential equation is
(3D²-8D-3D)y =4
⇒(3D+1)(D-3)y =4
Since the linear operation is
L(D) ≡ (3D+1)(D-3)
For particular integral
[since
]
[ replace D by 0 , since L(0)≠0]
The complete solution is
y= C.F+P.I