A committee of 4 is to be selected from a group of 5 men ...
A committee of 4 is to be selected from a group of 5 men and 3 women. In how many ways can this be done if the chairman of the committee must be a man?
15
40
70
175
Correct answer is D
From the five(5) men viable for the position of the chairman, one of them must be selected.
This implies; 4 men and 3 women are open for committee membership.
7 C\(_3\) = \(\frac{7!}{3!(7 - 3)!}\) =
\(\frac{7⋅6⋅5⋅4⋅3⋅2⋅1}{3.2.1 \times 4.3.2.1}\)
= 35 \(\times\) 5 = 175
What is the coordinate of the centre of the circle \(5x^{2} + 5y^{2} - 15x + 25y - 3 = 0\)?...
Consider the statements: x: The school bus arrived late y: The student walked down to school Whic...
A function f defined by f : x -> x\(^2\) + px + q is such that f(3) = 6 and f(3) = 0. Find the va...
Find the acute angle between the lines 2x + y = 4 and -3x + y + 7 = 0. ...
Given that \(^{n}P_{r} = 90\) and \(^{n}C_{r} = 15\), find the value of r....
Given that \(P = \begin{pmatrix} 3 & 4 \\ 2 & x \end{pmatrix}; Q = \begin{pmatrix} 1 & 3...