A committee consists of 5 boys namely: Kofi, John, Ojo, O...
A committee consists of 5 boys namely: Kofi, John, Ojo, Ozo and James and 3 girls namely: Rose, Ugo and Ama. In how many ways can a sub-committee consisting of 3 boys and 2 girls be chosen, if Ozo must be on the sub-committee?
35
30
18
12
Correct answer is C
Since Ozo is a boy and must be in the sub-committee, we have 2 spaces for the boys and 2 for the girls.
= \(^{4}C_{2} \times ^{3}C_{2} \)
= \(\frac{4!}{(4 - 2)! 2!} \times \frac{3!}{(3 - 2)! 2!} = 6 \times 3 = 18\)
Given n = 3, evaluate \(\frac{1}{(n-1)!} - \frac{1}{(n+1)!}\)...
If (x - 3) is a factor of \(2x^{2} - 2x + p\), find the value of constant p....
Evaluate \(\frac{1}{1 - \sin 60°}\), leaving your answer in surd form....
Solve \(9^{2x + 1} = 81^{3x + 2}\)...
A fair coin is tossed 3 times. Find the probability of obtaining exactly 2 heads. ...
If \(^nC_2\) = 15, find the value of n...
The angle of a sector of a circle is 0.9 radians. If the radius of the circle is 4cm, find the ...