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 C3 = 7!3!(7−3)! =
7⋅6⋅5⋅4⋅3⋅2⋅13.2.1×4.3.2.1
= 35 × 5 = 175
Two statements are represented by p and q as follows: p : He is brilliant; q : He is regular in c...
Marks 2 3 4 5 6 7 8 No of students 5 7 9 6 3 6 4 The table above sho...
Find the coefficient of x^{4} in the expansion of (1-2x)^{6}...
Calculate, correct to one decimal place, the angle between 5i + 12j and -2i + 3j. ...
Marks 5 - 7 8 - 10 11 - 13 14 - 16 17 - 19 20 - 22 Frequency 4 7 26 41 1...
Evaluate \int^0_0 \sqrt{x} dx...
If a fair coin is tossed four times, what is the probability of obtaining at least one head? ...
Four fair coins are tossed once. Calculate the probability of having equal heads and tails. ...
Given that 3x + 4y + 6 = 0 and 4x - by + 3 = 0 are perpendicular, find the value of b....