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Alexxandr [17]
3 years ago
14

How many dfferent strings can be made from the letters in MISSISSIPPI, using all letters? 15 013837

Mathematics
1 answer:
Sergio039 [100]3 years ago
8 0

Answer: 34650

Step-by-step explanation:

The number of permutations of n objects, where one object is repeated n_1 times , another is repeated n_2 times and so on is :

\dfrac{n!}{n_1!n_2!....n_k!}

Given : The number of letters in string MISSISSIPPI = 11

Here I is repeated 4 times, S is repeated 4 times and P is repeated 2 times.

Then , the number of different strings can be made from the letters in MISSISSIPPI, using all letters is given by :-

\dfrac{11!}{4!4!2!}=34650

Therefore , there are 34650 different strings can be made from the letters in MISSISSIPPI.

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Given the amount of water needed to fill the cement dam and the water pump rate, the time needed to fill the dam is 400 minutes or 6hours 40minutes.

Option B)6h 40min is the correct answer.

<h3>How long does it take to fill the dam?</h3>

Given that;

  • Amount of water needed to fill the dam A = 30000 litres
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To determine how long it take to fill the dam, we say;

Time need = Amount of water needed ÷ Pump rate

T = A ÷ r

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T = 6hours 40minutes

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Option B)6h 40min is the correct answer.

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