6. How many 7-digit binary strings are there with six 1\'s? (A) 1 (B) 7 (C) 42 (

Question

6. How many 7-digit binary strings are there with six 1's? (A) 1 (B) 7 (C) 42 (D) None of the above 7. How many 7-digit binary strings are there with four 1's or two 1's? (A) 35 (B) 21 (C) 56 (D) None of the above 8. How many 16-digit binary strings are there with eight 0's? (A) 128 (B) 1287 (C) 12870 (D) None of the above 9. How many 16-digit binary strings are there with six 1's? (A) 88 (B) 808 (C) 8008 (D) None of the above 10. How many 6-digit binary strings are there with three 0's or three 1's? (A) 26 (B) 20 (C) 6 (D) None of the above

Explanation / Answer

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Given a seven digit binary string

Now we have to find the number of strings with 6no of 1's and hence one zero.

=> There are seven possible places for zero to place

Number of ways of finding a place for zero out of 7 places is 7C1

= 7 ways

Hence option B is the correct answer

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