How can 12 prizes be distributed equally to 4 students? 396050) 369600) 345220 () 0 335900 ()
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- How many ways can four crayons be chosen from a box of 20 crayons? (All are different colours)A committee is going to select 30 students from a pool of 1000 to receive scholarships. How may ways could the students be selected if each scholarship is worth (a) the same amount? (b) a different amount?Twelve students compete in a race. In how many ways first three prizes be given?
- Explain why the number of combinations of n items taken rat a time can be computed by - r!2. (a) A sack contains 50 marbles of 4 different colors. Explain why there are at least 13 marbles of the same color. (b) If exactly 8 of the marbles are red, explain why there are at least 14 of the same color.Directions: Solve the given problem. Show your solutions. Of all the registered automobiles in Colorado, 8% fail the state emissions test. Twelve automobiles are elected at random to undergo an emissions test. a. Find the probability that exactly four of them fail the test. b. Find the probability that fewer than four of them fail the test. c. Find the probability that more than three of them fail the test.