If 4 math books are selected from 6 different math books and 3 english books are chosen from 5 different english books, how many ways can these chosen books be arranged on a shelf if math and english books must alternate?

Two technicians are discussing how to test a car's exhaust by holding a small piece of paper within an inch of the tailpipe mouth. technician a says that if the paper is vibrating due to a "puffing" output from the tailpipe, this signals a smoothly running engine. technician b says that if the paper is being drawn toward the tailpipe, this could indicate burned exhaust valves. who is correct? a. technician b b. both technicians a and b c. technician a d. neither technicians a or b

Cricket team of india australia and pakistan participant in 20-20 match . find the probability that india wins .

Where is my favorite place to eat?