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1 vote
In a state pick 4 lottery​ game, a bettor selects four numbers between 0 and 9 and any selected number can be used more than once. Winning the top prize requires that the selected numbers match those and are drawn in the same order.

Do the calculations for this lottery involve the combinations rule or either of the two permutations​ rules? Why or why​ not? If​ not, what rule does​ apply?

A. The permutation rule (with different items) applies to this problem because repetition is allowed. The permutation rule (with some identical items) and the combination rule cannot be used with repetition.
B. The combination and permutations rules do not apply because repetition is allowed and numbers are selected with replacement. The factorial rule applies to this problem.
C. The combination and permutations rules do not apply because repetition is allowed and numbers are selected with replacement . The multiplication counting rule applies to this problem.
D. The combination rule applies to this problem because the numbers are selected with replacement. Neither of the permutations rules allows replacement.
E. The permutation rule (with some identical items) applies to this problem because repetition is allowed The permutation rule (with different items) and the combination rule cannot be used with repetition.

2 Answers

7 votes

Final answer:

The permutation rule (with different items) applies to this problem because repetition is allowed. The permutation rule (with some identical items) and the combination rule cannot be used with repetition.

Step-by-step explanation:

The correct answer is A. The permutation rule (with different items) applies to this problem because repetition is allowed. The permutation rule (with some identical items) and the combination rule cannot be used with repetition. The calculations for this lottery game involve the permutation rule because the bettor selects four numbers between 0 and 9, and any selected number can be used more than once. The permutation rule allows for repetition and ensures that the order of the selected numbers is taken into account when determining the probability of winning the top prize.

User Kreeki
by
6.2k points
4 votes

Answer:

the answer is na

Step-by-step explanation:

User Gamingumar
by
5.9k points