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The number of triples of 1s on 8 bits

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Q: How many bit strings of length 8 contain exactly three 1's?
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How many bit strings of length 10 have exactly three 0s?

Basically, this is the same as finding the number of distinct ways of arranging seven 1s and 3 0s. That is (10!/7!3!) = (10*9*8)/(3*2*1) = 120. There are 120 bit strings of length 10 with exactly three 0s.


How many bit strings of length 3 have exactly two 1s?

Three of them ... the binary numbers 3, 5, and 6. 011 101 110


How many strings of three decimal digits Have exactly three digits that are 9?

There can be only one.


How many strings of 3 decimal digits do not contain the same 3 digits?

How many strings of three digits are there? 000 to 999, or a total of 1000. How many strings of three digits contain the same three digits? That's 000, 111, 222 ... 999! ten in total. The difference is your answer: 1000-10 = 990.


How many strings or three decimal digits have exactly two digits that are 9s?

There are 27 of them.


How many strings of three the same digits have exactly three digits that are 9s?

Only 1 exists, and it is "999"


How many strings of three the same digits have exactly two digits that are 4s?

One: 444!


How many bit strings of length 8 contain either three consecutive 0s or four consecutive 1s?

Five (5) have one or the other but not both. Six (6) have both. Total of eleven (11).


How many strings of three decimal digits Have exactly digits that are 4?

-- 893 of them have no 4's. -- Three of them have exactly one 4: 4xx, x4x, and xx4. -- Three of them have exactly 2 4's: 44x, 4x4, and x44. -- One of them has exactly three 4's: 444. -- None has more than three 4's.


How do you do three strings on boondoggle?

How do you do a boondoggle with three strings


How many planes will contain three non-collinear points?

Exactly one.


Does a viola have three strings?

A viola does not have three strings in fact it has four