**Algebra**

MATH106 & MTH 154 Exam 2

1. How many ways can you arrange the 6- letters word from an English alphabet, you may not use repeated letters.?

2. How many handshakes can 400 peoples shake hand with each other one time?

3. How many ways to answer 30 questions with a simple True/ False multiple choices questions?

4. A single card is chosen at random from a 52-card deck. How many ways can you draw a Face or an Ace card?

5. Building numbers from sets of digits: Three numbers are randomly selected without replacement from the set {0, 1, 2, 4, 6, 7, 8, 9}. Find the probability of three digits COUNTING NUMBERS is EVEN.

6. A pair of dice are rolled. Find the probability of a sum to be multiple of 3 or prime.

7. Drawing cards are drawn without replacement from a 52-card deck. Find the probability to draw ANY pair.

8. Drawing cards are drawn without replacement from a 52-card deck. Find the probability to draw two cards have different suits.

9. Given data below find Mean, Median, Mode, and Standard deviation 1 3 4 6 1 3 3 1 4 3 6 4 3 3 4 6 1 3 3

10. 500,000 DC Commuters traveled to DC every day. The average distance traveled is 13 miles per day with standard deviation of 4.7 miles.

(A) How many people travel LESS than 10 miles per day?

(B) How many people travel BETWEEN than 12 and 16 miles per day?

(C) How many people travel BETWEEN than 15 and 19 miles per day?

# How many ways to answer 30 questions with a simple True/ False multiple choices questions?

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