There are 7 boys in a class of 20. Find the number of way...
There are 7 boys in a class of 20. Find the number of ways of selecting 3 girls and 2 boys
1638
2730
6006
7520
Correct answer is C
No of boys in the class = 7; Girls = 20-7 = 13
No of selection = \(^{13}C_{3} \times ^{7}C_{2} = \frac{13!}{(13-3)!3!} \times \frac{7!}{(7-2)!2!}\)
= \(286\times21 = 6006\)
The derivative of a function f with respect to x is given by \(f'(x) = 3x^{2} - \frac{4}{x^{5}}\...
A fair coin is tossed 3 times. Find the probability of obtaining exactly 2 heads. ...
If \(\sin\theta = \frac{3}{5}, 0° < \theta < 90°\), evaluate \(\cos(180 - \theta)\)....
Simplify \(\frac{^{n}P_{4}}{^{n}C_{4}}\)...
Express \(\frac{x^{2} + x + 4}{(1 - x)(x^{2} + 1)}\) in partial fractions....