out, write the letter in the matching numbered 1. Let n represent an unknown number. a. eight more than the number b. three times the number c. the product of the number and eight d. three less than the number e. three decreased by the number
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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Write an algebraic expreseion for the phrase. Cros5 out the number-letter pair
above each correct anewer. For each number-letter pair that you DON'T cross
out, write the letter in the matching numbered box at the bottom of the page.
1. Let n represent an unknown number.
a. eight more than the number
2. Let k represent an unknown number.
a. the sum of the number and two
b. three times the number
b. the quotient of the number and nine
c. the product of the number and eight
c. twice the number
d. three less than the number
d. the difference of nine and the number
e. three decreased by the number
e. nine less than the number
5.B
2.0
14•D
1•R
15•V
8•S
11•W 15 N
8•C
5•T
1.K
6.Y 14.0 10.A
3.
2.
2.
+
3. Let x represent an unknown numnber.
4. Let u represent an unknown number.
a. 4 times the sum of 7 and the number
a. two-fifths of the number
b. 4 times 7 plus the number
b. five more than twice the number
c. 7 less than the product of 4 and the number
c. five times the sum of the number and two
d. 7 times the quantity 4 more than the number
d. one-fifth of the sum of the number and two
e. 4 times the quantity 7 less than the number
e. half of the quantity five less than the number
15 W 1 M
6•R
8.G
10•E 13•D
4)
9•H
10 A 13 R
9.E
1•G
6.0
3•B
12 H
+
5. Let a represent Atom's age now.
6. Let w represent the width of a rectangle.
The length is 8 cm more than the width.
a. Atom's age in three years
b. Atom's age four years ago
a. 5 times the width
c. four times Atom's age three years ago
b. the length
d. three times Atom's age in four years
c. 5 times the length
e. three years more than four times Atom's age
d. 8 cm more than the product of 5 and the width
e. one-eighth of the sum of 5 cm and the width
9•R
3.N 10.0
4.S
7.A
13.N
11.V
7.0
4.S
9•L
3.R
2 E
9.N
3-T
3)
3.
4)
00
+ 00
1
2
3
4
7
8
9
10
11
12
13
14
15
ug
8-n
3(a-4)9
4(7) + x
+
4-3a
4(7+x)
3+4aD
5(u+2)|:|
8 + m
u-5
2
16
5u-2
E(8 + m)g
2k
6-)
5 +2u|
mg + 8"
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