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Anna35 [415]
3 years ago
9

How many ways can the letters in the word D-I-N-O-S-A-U-R be arranged?

Mathematics
1 answer:
MAVERICK [17]3 years ago
7 0

Answer:

40,320 ways

Step-by-step explanation:

To find the number of ways that the letters can be arranged, as all letters are different, we just need to find the factorial of the number of letters.

As we have 8 different letters, the number of ways is:

Factorial(8) = 8*7*6*5*4*3*2 = 40,320 ways

We can arrange the letters in 40,320 different ways.

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                  Amanda           Billy
1st week       10                   5
2nd week      20                  10 
3rd week       30                  20
4th week       40                  40
<span>
A) Amanda's method is linear because the number of minutes increased by an equal number every week.</span>
common difference is 10.
1st week      0 + 10 = 10
2nd week   10 + 10 = 20
3rd week    20 + 10 = 30
4th week    30 + 10 = 40

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5(2)^x

1st week   5(2⁰) = 5(1) = 5
2nd week  5(2¹) = 5(2) = 10
3rd week   5(2²) = 5(4) = 20
4th week   5(2³) = 5(8) = 40
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