In how many ways can you line up 5 persons if two persons refuse to follow each other? | MATHalino

In how many ways can you line up 5 persons if two persons refuse to follow each other?

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Multiple Choice Questions (MCQ) uploaded before May 2024

A wire with length of 52 cm is cut into two unequal lengths. Each par is bent to form a square. If the sum of the area of the two squares is 97 sq. cm., what is the area of the smaller square?
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.
To encourage Elmer’s promising tennis career, his father offers him a prize if he wins (at least) two tennis sets in a row in a three-set series to be played with his father and the club champion alternately:
Find $\tan \beta$ from the given figure.
Find $\ln A$ if $\log_5 A = 4$.
Solve for x if $ln (x + 1) = 0$.
vSk9ZBx-2 Compute the length of belt if the belt will be cross-connected to make the pulleys rotate in opposite directions.
Wl4g9k7-1 Compute the center-line spacing between joists.
In a lifting machine, a load of 50 kN is moved by a distance of 10 cm using an effort of 10 kN which moves through a distance of 1 m, the efficiency of the machine is…
The sum of the digits of a two-digit number is 11. When the digits are reversed, the new number exceeds the original number by 9. From the original number, calculate the product of tens digit to the square of the units digit.
A steel pipe is being carried down a hallway 9 ft wide.
A mechanical device which when installed in the pipe flow system will add energy (output) to the system is known as:
Solve for y if $y = (e^x + e^{-x})^2 - (e^x - e^{-x})^2$.
Czgy9ZT-3 Find the weight of the tank when full of salt water in, kilo Newton.
A substance goes into a solution at the rate of 25% of the undissolved portion each minute. If the initial amount was 64/27 grams, what amount (in grams) is undissolved after 6 minutes?

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