4
AssignmentMultiple Choice

Permutations and Combinations

Question 4 • HCISD-Mathematical Models with Applications B-CR SUMMER

Janice determined there were 10 possible outcomes when tossing two coins and spinning a spinner numbered 1 through 6. What is the correct number? What might have been Janice’s error?

Answer
A
3; There are only 3 events.
B
6; There is only 1 possible outcome for the coins.
C
24; She added the number of possibilities instead of multiplying.
D
36; The spinner was spun twice.

Explanation

Two coins have 4 possible outcomes: HH, HT, TH, and TT. The spinner has 6 possible results, so the total number of combined outcomes is 4 × 6 = 24. Choice C is correct; Janice may have added 4 and 6 instead of multiplying them.

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