7. Solve the following below: a. How many different license plates can be made i
ID: 3341033 • Letter: 7
Question
7. Solve the following below:
a.
How many different license plates can be made if each license plate is to consist of 2 letters, followed by 3 digits, and no letters or digits may repeat?
a) 463,000
b) 468,000
c) 467,000
d) 466,000
e) 469,000
f) None of the above.
b.
How many permutations can be formed from the letters of the word TENNESSEE ?
a) 20,160
b) 4,225
c) 3,780
d) 6,575
e) 40,320
f) None of the above.
c.
Last year at a certain high school, 12 students sought the nomination for president of the student body. In how many ways could the voters (student body) rank their first 3 choices?
a) 220
b) 1,320
c) 36
d) 3
e) 479,001,600
f) None of the above.
d.
A classroom of children has 19 boys and 20 girls in which five students are chosen to do presentations. What is the probability that at least four boys are chosen?
a) 0.319770
b) 0.134640
c) 0.154836
d) 0.454410
e) 0.020196
f) None of the above.
e.
A classroom of children has 14 boys and 18 girls in which five students are chosen to do presentations. What is the probability that more boys than girls are chosen?
a) 0.0895
b) 0.3660
c) 0.0099
d) 0.3760
e) 0.2865
f) None of the above.
Explanation / Answer
7. (a) Number of ways = (26 * 25) * (10 * 9 * 8) = 468,000.
Hence, Option (b) is the correct choice. (Ans).
(b) Required number of permutations = 9! / (2! * 3! * 2!)
= 15120.
Hence, Option (f) is the correct choice. (Ans).
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.