Answer:
(a) 1024 ways
(b) 243 ways
Step-by-step explanation:
When answers are independent, the total number of ways all questions can be answered is the product of the number of ways each question can be answered.
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<h3>(a)</h3>
The first question can have one answer 4 ways. The second question can be answered 4 ways for each of the ways the first question was answered. That is, the two questions can be answered 4×4 = 16 ways. Similarly, each additional question multiplies the number of ways the questions can be answered by 4.
The 5 questions can be answered 4×4×4×4×4 = 4^5 = 1024 ways.
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<h3>(b)</h3>
There are 3 ways to answer the first question incorrectly. Each additional question can be answered incorrectly 3 ways for each of the ways previous questions were answered. The total number of ways all questions can be answered incorrectly is ...
3^5 = 243
A student can answer all questions wrong in 243 different ways.
1. (C) 3:5
2. 30 minutes
3. (B) 46
4. (D) $8 for 3.5 kg
5. 20 hours
6. 3:5, 6:10, 9:15, 12:20
7. 56cm, 1.8ft, 20in
8. (D) 50.75
9. $13.50
10. 1,944 minutes
3.1 miles left to go (3/3-2/3= 1/3, 1/3×9.3=3.1)
It should be 91 because 8 + 1 = 9, and if you go any further, it would turn into the hundreds place