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2 years ago

How many different ways

Mathematics

1 answer:

Lorico [155]2 years ago

3 0

Answer:

120 different ways

Step-by-step explanation:

The formula to count the permutation since the order the matters: nPr = n! / (n - r)!, where n is the total number and r is the total number of chosen.

1) Substitute values into the formula. SMILE has 5 letters, and we choose 5.

5P5 = 5! / (5 - 5)!

5P5 = 5! / 0!

Zero factorial (0!) is always 1.

So, 5P5 = 5! / 1

5! = 5 × 4 × 3 × 2 × 1

5! = 120

Therefore, 5P5 = 120 / 1, which is 120. We can arrange the word SMILE in 120 different ways.

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3 years ago

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3 years ago

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3 years ago

Read 2 more answers

I think of a number double it add 15 my number is 21 what number was i thinking about

AleksandrR [38]

Hello from MrBillDoesMath!

Answer:

Discussion:

Let the number be "n",

2n + 15 = 21 => subtract 15 from both sides

2n = 21 - 15 = 6 => divide both sides by 2

n = 6/2 = 3

Check: Start with 3. Double it (gives 6), add 15 to it ( 6 + 15) which gives 21/

Thank you,

MrB

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4 years ago

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Answer:

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3 years ago