Question

A quiz consist of 2 true-or-false questions 3 are multiple choice questions. The multiple choice questions have 3 options each. How many ways can a student complete the quiz?
a.36
b.162
c.108
d.18

A secrete code consist of 2 digits, followed by 2 letters, followed by 1 of the following symbols @,#,%, and &. Digits and letters cannot repeat.
a.243,360
b.260,000
c.234,000
d.270,400

How many distinct arrangements can you make using the letters in the word EXPERIMENT?
a.1,209,600
b.3,628,800
c.725,760
d.604,800

How many ways can a dance instructor send 4 of her 11 students to a summer dance program?
a.330
b.720
c.7920
d.1980

There are 5 keys on a key chain. 1 of the keys start a car. A random key is chosen. What is the probability that it starts the car?
a.25%
b.5%
c.20%
d.15%

The probability of choosing a winning card from a stack of cards is 2.9%. What is the probability of choosing the losing card
a.87.1%
b.92.9%
c.99.71%
d.97.1%

Answer 1

Part 1: 2×2×3×3×3=108 (c)
Part 2: 10×9×26×25×4=234000 (c)
Part 3: 10×9×8×7×6×5×4×3×2×1÷(3×2×1)=604800 (d)
Part 4: 11C4=11×10×9×8÷(4×3×2×1)=330 (a)
Part 5: ⅕=20% (c)
Part 6: 100-2.9=97.1 (d)