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Oksi-84 [34.3K]
1 year ago
6

How many 5-letter words can be made using exactly 5 of the letters from

Mathematics
1 answer:
kow [346]1 year ago
3 0

The total number of ways by words are formed is 35 ways.

According to the statement

We have given that the 5 letters and we have to make word from them and the letters are repeated as equal to letters in given words.

And we have to find the possible ways.

So, The given words are:

TEXAS and MEXICO

Here X = 2 and E = 2 and all other words are one time used words.

We can find possible ways by use of combination and permutation.

So,

Total number of ways = 3C_{1} ^{5} + 2C_{2} ^{5}

here 3 because three letters are not repeatable and 2 letters are repeated for 2 times.

So,

Total number of ways = 3C_{1} ^{5} + 2C_{2} ^{5}

Total number of ways = 3(\frac{5!}{1!} ) + 2(\frac{5!}{2!*3!} )

Total number of ways = 3(5) + 2(10)

Total number of ways = 15 + 20

Total number of ways = 35.

So, The total number of ways by letters are formed is 35 ways.

Learn more about combination and permutation here

brainly.com/question/11732255

#SPJ1

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Answer:

Formula for nth term in Arithmetic sequences is:

a_n =a+(n-1)d

where a is the first term, d is the common difference and n is the number of terms.

As per the statement:

The rule for the pattern is add 4.

As the first term in line says the first term i,e 7

a= 7

common difference(d)= 7

As the Jenna number is 8th in line.

Series we get;

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We have to find the 8th term.

n = 8, a = 7 and d = 4

Using above formula:

a_8 = 7+(8-1)4 = 7+7 \cdot 4 = 7 +28 = 35

Therefore, 35 number should Jenna say.

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Nelson needs 3 and 3/4 cups of flour to make a loaf of bread and 2 and 2/3 cups of flour to make pretzels. How many cups of flou
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Answer:

that is 6 and 5/ 12 cups of flour are required

Step-by-step explanation:

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adding numerators

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taking lcm of denominators to make the fractions equivalent

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6 \frac{5}{ 12}

<em>that is 6 and 5/ 12 cups of flour are required</em>.

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