Answer:7350
The total arrangements of the letters in Mississippi having no consecutive s's=70X105=7350. So, the answer is 7350.Hence, the distinct permutations of the letters of the word MISSISSIPPI when four I's do not come together = 34650 – 840 = 33810.
Step-by-step explanation:
I have the answer on paper but i'm using my computer rn But yh
Answer:
So the idea is that we want to find the total number of ways that we can pick 7 diamonds (real or fake) from the 12 diamonds.
So as you said, 12 choose 7 = 792
Now we need the total number of ways that we can satisfy that of the 7 we picked, exactly three are real, but this also means that four are fake.
So to choose 3 real from 5 is 5 choose 3 = 10
And to choose 4 fake from 7 is 7 choose 4 = 35
3x10/792= 350/792= 175/396
Answer:
24x + 15
Step-by-step explanation:
You multiply 24 and x together, then add 15 to the sum.
Answer:
720
Step-by-step explanation:
With Gulliver's Travels in the first spot and A Tale if Two Cities in the last spot, there are 6 empty spots in between. Any of 6 books can go in the second spot, and then there 5 books left to pick from for the third place. That leaves 4 books to choose from for the next space and then 3 and then 2 and then one last book left to fill in (in front of Tale of Two Cities) since there's so many choices, we actually multiply to calculate how many different versions of the shelf we can get.
6•5•4•3•2•1 is 720 ways this can happen.
The mathy way to write that multiplication is 6! (Yes, an exclamation mark is a math symbol too, it is called factorial)
Answer: 7
The prime numbers here are 3, 5, 7, and 11. This means that 9 is not prime. Since 7 +2 is 9, this disproves that m + 2 is also prime.
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