A committee consists of 6 boys and 4 girls. In how many w...
A committee consists of 6 boys and 4 girls. In how many ways can a sub-committee consisting of 3 boys and 2 girls be formed if one particular boy and one particular girl must be on the sub-committee?
120
80
56
30
Correct answer is D
The required committee can be formed in
(a boy and a girl are already part of the committee so we need two more boys and a girl).
\(^{5}C_{2}\) * \(^{3}C_{1}\) = \(\frac{5 * 4*3*2*1}{3* 2 * 2*1}\) * \(\frac{ 3* 2* 1}{ 2 * 1}\)
10 * 3 = 30ways.
Evaluate \(\int^0_0 \sqrt{x} dx\)...
Solve \(3^{2x} - 3^{x+2} = 3^{x+1} - 27\)...
Adu's scores in five subjects in an examination are 85, 84, 83, 86...
Find the coefficient of \(x^{3}\) in the binomial expansion of \((x - \frac{3}{x^{2}})^{9}\)....
If \(\begin{vmatrix} m-2 & m+1 \\ m+4 & m-2 \end{vmatrix} = -27\), find the value of m...
If \(y = \frac{1+x}{1-x}\), find \(\frac{dy}{dx}\)....
What percentage increase in the radius of a sphere will cause its volume to increase by 45%? ...
Express \(\frac{1}{1 - \sin 45°}\) in surd form. ...
Find the value of the constant k for which \(a = 4 i - k j\) and \(b = 3 i + 8 j\) are perpendi...