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3 years ago

Can someone please help me answer this.

Mathematics

1 answer:

Anika [276]3 years ago

3 0

4(y - 7) = 2y - 38
4y - 28 = 2y - 38
4y - 2y = -38 + 28
2y = -10
y = -5

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Step-by-step explanation:

There are 7 democrats and 6 republicans

Number of ways in which 4 democrats and 2 republicans can be selected= ${}^{7}{{C}_{4}}\times {}^{6}{{C}_{2}}$

Number of ways in which 5 democrats and 1 republican can be selected= ${}^{7}{{C}_{5}}\times {}^{6}{{C}_{1}}$

Number of ways in which 6 democrats can be selected = ${}^{7}{{C}_{6}}$

So, favourable outcomes are ${}^{7}{{C}_{4}}\times {}^{6}{{C}_{2}}+{}^{7}{{C}_{5}}\times {}^{6}{{C}_{1}}+{}^{7}{{C}_{6}}$

Total possible outcomes = ${}^{13}{{C}_{6}}$

Now, probability= $\frac{Favourable}{Possible}=\frac{{}^{7}{{C}_{4}}\times {}^{6}{{C}_{2}}+{}^{7}{{C}_{5}}\times {}^{6}{{C}_{1}}+{}^{7}{{C}_{6}}}{{}^{13}{{C}_{6}}}=0.383$

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