5 × 4 × 3
Finally, multiply across: 5 × 4 × 3 = 60.- B The order in which the awards are given yields different outcomes, so this
is a permutation question. Since three awards will be given, set up three slots.
There are 10 possibilities for the first slot, 9 possibilities for the second slot, and
8 possibilities for the third slot:
10 9 8
Finally, multiply across: 10 × 9 × 8 = 720. - E Use the fundamental counting principle. Multiply the number of items in
Set A by the number of items in Set B. 5 × 5 = 25.
Quantitative Comparison Questions
- B Since x and y are mutually exclusive events, their sum = 1. Since x and y are
fractions, their product is less than 1. Thus Quantity B is greater. - A Remember to compare instead of calculating. Since there are more multiples
of 3 than there are multiples of 5, the probability of selecting a multiple of 3 is
greater than the probability of selecting a multiple of 5. Quantity A is greater. - C Although you may be tempted to figure the math out here, you can solve
it much more quickly by recognizing a key point. For at least one coin flip to
land on heads, it must be the case that not all of the coin flips land on tails. The
values in the two quantities are thus equal. - A If x is the probability that the coin will land on heads on one flip, then
x^3 = 0.064 → x = 0.4. If there is a 0.4 chance the coin will land on heads on a
given flip, then there is a 0.6 chance that the coin will land on tails on a given
flip. Quantity A is greater.
CHAPTER 12 ■ FROM WORDS TO ALGEBRA 36304-GRE-Test-2018_313-462.indd 363 12/05/17 12:04 pm