Can u guys help me with this... Thanks ❤️
2 answers:
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Answer:
(a) 4.148 x 10^(12) ways
(b) 5,827,360 ways
Step-by-step explanation:
Number of Demonstrators (D) = 44
Number of Repudiators (R) = 56
(a)
5 senate members must be Repudiators and 5 must be demonstrators, assuming that the order at which they are selected is irrelevant:
(b)
Since there are two different positions, (speaker and vice speaker), order is important in this situation, and the total number of ways to select two senators from each party is:
Answer:
The correct option is;
False
Step-by-step explanation:
The coefficient of x^k·y^(n-k) is nk, False
The kth coefficient of the binomial expansion, (x + y)ⁿ is
Where;
k = r - 1
r = The term in the series
For an example the expansion of (x + y)⁵, we have;
(x + y)⁵ = x⁵ + 5·x⁴·y + 10·x³·y² + 10·x²·y³ + 5·x·y⁴ + y⁵
The third term, (k = 3) coefficient is 10 while n×k = 3×5 = 15
Therefore, the coefficient of x^k·y^(n-k) for the expansion (x + y)ⁿ = not nk