Multiple Choice Question: A couple decides to entertain 24 friends by giving 4 dinners with 6 guests each. In how many ways can the 1st group be chosen?

A couple decides to entertain 24 friends by giving 4 dinners with 6 guests each. In how many ways can the 1st group be chosen?

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More Old MCQ

Orphaned Multiple Choice Questions (MCQ) due to changes of exam system.

Through a given cone of altitude h and base A, two planes are passed parallel to the base, cutting the altitude $\frac{1}{3}h$ and $\frac{2}{3}h$ units from the base. Find the ratio of the volumes of the two frustums thus formed.
A hole 10 inches in diameter is to be punched out from a sphere having a diameter of 16 inches. Determine the volume punched out if the center of the hole is along the diameter of the sphere.
Find $P(0 \lt z \lt 1.25)$, where $z$ has the standard normal distribution.
During the last election, the total number of votes in a certain municipality was 12,400.
Circle a has circumference numerically equal to its area. If the certain square has the same area with the circle a, then what would be the length of its sides?
A circle having a radius of 18 cm is cut by a chord 5 cm from the center. What is the area of the of the smaller segment?
The volume of fluid passing a certain section of the stream, pipe, or channel, which has the dimension in cubic meter per second is:
Ernie’s average in 6 subjects is 83. If his lowest grade is disregarded, his remaining subject is 84. What is his lowest grade?
A cone was formed by rolling a thin sheet of metal in a form of a sector of a circle 72 cm in diameter with a central angle of 150 deg. Find the volume of the cone.
A cube is 6 inches in edge. A cutting plane is passed through the midpoint of three adjacent edges. Find the volume of the smaller solid.
A spider eats three flies a day. Until he fills his quota, he has an even chance of catching any fly that attempts to pass.
Shureka Washburn has scores 72, 67, 82 and 79 on her algebra tests. Use an inequality to find the scores she must take on the final exam to pass the course with an average of 77 or higher, given that the final exam counts as two test.
A wall 10 ft high along the property line is 8 ft from a house.
How is the dry density of a soil related to its density at full saturation? $\rho_w$ is the density of water, $n$ is the porosity and $e$ is the void ratio.
Albert and Bryan can do a certain task if both work together 3 days and Albert then works alone 1 day.

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