Redwood High School. Department of Mathematics
Hard worker's name:___________________________________
Advanced Algebra 2015-16 worksheet #1 for Test S2 #6. SHOW YOUR WORK
Solve the problem.
1) A restaurant offers a
choice of 4 salads, 10
main courses, and 2
desserts. How many
possible 3-course meals
are there?
1)
2) Lisa has 4 skirts, 8
blouses, and 3 jackets.
How many 3-piece outfits
can she put together
assuming any piece goes
with any other?
2)
3) A salesman packed 3
shirts and 6 ties. With one
shirt, he could wear all 6
ties. With another shirt,
he could wear 5 ties. With
the other shirt, he could
wear only 2 ties. How
many different
combinations did he
have?
3)
Find the value of the permutation.
4) P(9, 0)
4)
10) A combination lock has 50
numbers on it. How many
different 3-digit lock
combinations are possible
if no digit can be
repeated?
10)
11) One digit from the
number 8,979,229 is
written on each of seven
cards. What is the
probability of drawing a
card that shows 8 or 2?
11)
12) Each of ten tickets is
marked with a different
number from 1 to 10 and
put in a box. If you draw
a ticket from the box,
what is the probability
that you will draw 6, 9, or
8?
12)
13) In how many ways can a
class president and a class
secretary be chosen from
a group of 7 candidates?
13)
Solve the problem.
14) A sports shop sold tennis
rackets in 4 different
weights, 2 types of string,
and 3 grip sizes. How
many different rackets
could they sell?
14)
5) P(7, 3)
5)
6)
6!
4! 2!
6)
7)
6!
1!5!
7)
8) P(7, 0)
8)
15) In how many ways can 4
of 11 cars be parked in 4
spaces?
9) P(5, 5)
9)
16)
8!
7!1!
16)
17)
7!
7!0!
17)
1
15)
Use the fundamental counting principle to solve the
problem.
18) How many license plates
18)
can be made consisting of
2 letters followed by 3
digits?
19) A singer-songwriter
wishes to compose a
melody. Each note in the
melody must be one of
the 13 notes in her vocal
range. How many
different sequences of 3
notes are possible?
19)
Evaluate the expression.
5
20) 0
20)
21) P(6, 0)
21)
22) A musician plans to
perform 5 selections for a
concert. If he can choose
from 8 different
selections, how many
ways can he arrange his
program?
22)
23) How many different
11-letter words (real or
imaginary) can be formed
from the letters in the
word ENGINEERING?
23)
Use a calculator to evaluate the expression.
24) 26P4
24)
25) 29C4
25)
26) 11C8
26)
27)
6!
0!6!
27)
2
28) How many 5-digit
numbers can be formed
using the digits 0, 1, 2, 3,
4, 5, 6, 7, 8, 9, if repetitions
of digits are allowed?
28)
29) Using the numerals 0
through 9, how many
7-digit serial numbers
can be made if the first
digit must be 0 or 1 and
numerals may be
repeated?
29)
30) How many different
7-letter codes are there if
only the letters A, B, C, D,
E, F, G, H, and I can be
used and no letter can be
used more than once?
30)
31) How many different
license plates can be made
using 3 letters followed
by 4 digits selected from
the digits 0 through 9, if
neither letters nor digits
may be repeated?
31)
32) How many different
10-letter words (real or
imaginary) can be formed
from the letters in the
word LITERATURE?
32)
33) How many different
vertical arrangements are
there of 7 flags if 3 are
white, 2 are blue, and 2
are red?
33)
34) P(13, 13)
34)
35) P(9, 4)
35)
36) How many different
license plates can be made
using 3 letters followed
by 2 digits selected from
the digits 0 through 9, if
letters and digits may be
repeated?
36)
3
Answer Key
Testname: ADVALG S2 PROBABILITIES #6 V2
1) 80 possible meals
2) 96 possible outfits
3) 13 combinations
4) 1
5) 210
6) 15
7) 6
8) 1
9) 120
10) 117,600
3
11)
7
12)
3
10
13) 42
14) 24 rackets
15) 7920
16) 8
17) 1
18) 676,000
19) 2197
20) 1
21) 1
22) 6720
23) 277,200
24) 358,800
25) 23,751
26) 165
27) 1
28) 100,000
29) 2,000,000
30) 181,440
31) 78,624,000
32) 453,600
33) 210
34) 6.2270208e+09
35) 3024
36) 1,757,600
4