Algebra, worksheet, math homework help

  

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1. Which of the following is equivalent to the expression shown below?
6•5•4•3•2•1
10 • 9 • 8 • 7 • 6 • 5 • 4 • 3 • 2 • 1
16 • 15 • 14 • 13 • 12 • 11
(16 – 10)!
2. Which of the following expressions is equivalent to the expression shown below?
5
4•3•2•1
5•4•3•2•1
(5 – 4)!
3. Evaluate the factorial expression.
1
42
1/2
2520
4. Which of the following situations would be a combination?
Find all the ways to arrange the letters in the world ALPHABET.
A baseball team has 14 players. In one of the innings, 10 players got the chance to bat before they went
to the next inning. Find the number of ways the innings could have been arranged.
300 runners are running in a marathon race. The first place winner gets $500,000, the second place gets
$250,000, and the third gets $125,000. Find the number of ways the racers could win first, second, and
third.
Its mismatching socks day at school. You have five pairs of different socks. Find how many different
arrangements of socks you could wear.
5. A rugby team has 14 members. How many different ways can the team choose a captain and a cocaptain, assuming that no player can hold both positions.
43,589,145,600
182
28
91
6. A disc jockey at a radio show has a choice between 15 records to play. He can play 6 records in his
segment. How many ways can the records be arranged?
5,005
720
1,816,214,400
3,603,600
7. How many ways can the letters in the word DALLAS be arranged?
720
360
180
30
8. Tiffany is buying a license plate for her car. The license plate will have 2 digits and 3 letters. She wants
it to include the numbers 4 and 8 and the letters S, T, and S. How many different possible combinations
of these letters and numbers could be on her license plate?
5040
1260
120
60
9. Out of 15 books you have, you plan to take 6 on vacation with you. How many different combinations
of books could you take?
1,816,214,400
5,005
3,603,600
720
10. Five cards are drawn from a standard deck of cards. How many hands consist of 3 kings and 2
queens?
22,308
336
24
6
…
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