A committee of six is to be formed by a state governor from nine state commissioners and three members of the state house of assembly. In how many ways can the members of the committee be chosen so as to include one member of the house of Assembly
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2,359 questionsThe mean age of a group of students is 15 years. When the age of a teacher, 45 years old, is added to the age of the students, the mean of their ages becomes 18 years. Find the number of the students in the group
In how many ways can 2 students be selected from a group of 5 students in a debating competition?
The pie chart above shows the distribution of the crops harvested from a farmland in a year. If 3000 tonnes of millet is harvested, what amount of beans is harvested
What is the probability of obtaining a 5?
Some white balls put in a basket containing twelve red balls and sixteen black balls. If the probability of picking a white ball from the baskets is \(\frac{3}{7}\), how many white balls were introduced?
Evaluate \(\int_{1}^{3}(x^2 - 1)dx\)
Find the derivatives of the function y = 2x\(^2\)(2x - 1) at the point x = -1?
What is the rate of change of the volume V of a hemisphere with respect to its radius r when r = 2?
Find the derivatives of (2 + 3x)(1 - x) with respect to x
If y = 3 cos(\(\frac{x}{3}\)), find \(\frac{dy}{dx}\) when x = (\(\frac{3π}{2}\))
The locus of a point which is 5 cm from the line LM is a
P, R and S lie on a circle center as shown above while Q lies outside the circle. Find ∠PSO
Find the value of x in the figure above
Find the midpoint of the line joining P(-3, 5) and Q(5, -3).
In the diagram above, PQ = 4 cm and TS = 6 cm. If the area of parallelogram PQTU is 32 cm\(^2\), find the area of the trapezium PQRU