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tiny-mole [99]
2 years ago
7

How many different letter permutations, of any length, can be made using the letters M O T T O (For instance, there are 3 possib

le permutations of length 1.)
Mathematics
1 answer:
Tatiana [17]2 years ago
5 0

Answer:

89

Step-by-step explanation:

Given that

2 O, 2 T and 1 M

Now based on this, the following ways are there  

1

Three ways i.e. {M,T,O}

2

XX or XY

XX in 2C1 = two ways i.e. {OO or TT}

XY in 3C2 × 2! = six ways

3

XXY or XYZ

XXY in 2C1 × 2C1 × 3! ÷ 2! = twelve ways

XYZ in 3C3 × 3! = six ways

4

XXYY or XXYZ

XXYY = 4! ÷ (2! × 2!) = six ways

XXYZ in 2C1 ×  4! ÷ 2! = twenty four ways

5

= 5! ÷ (2! ×2!)

= 120 ÷ 4

= 30

Therefore, the total is

= 3 + (2 +6)+ (12 +6) + (6 +24) + 30

= 89

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Answer:

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After dinner 1-3 of the corn bread is left suppose 2 friends want to share it equally what fraction names how much of the whole
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Answer:

Each friend will get  \frac{1}{18} of whole pan of corn bread

Step-by-step explanation:

As given,

Corn bread left = \frac{1}{3}

Total number of friends = 2

So the left bread will divide into 2 parts

So, each person will get = \frac{1}{2} ( \frac{1}{3} ) = \frac{1}{6} of the left bread

Now,

Left bread = \frac{1}{3} of whole bread

And

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∴ we get

Each friend will get  \frac{1}{18} of whole pan of corn bread

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3 years ago
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I don’t know the answer
Lera25 [3.4K]
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