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

Dear Student

Thank you for using CHegg !!

Given a seven digit binary string

Now 6 digits out of 7 have to be selected such that they are '1'

Number of ways of selection of 6 bits out of 7 with '1' is = 7 C 6

= 7! / ( 6! * 1!)

= 7

Hence the solution is Option B ( 7 ways)

Related Questions

Navigate

• Browse (All)
• Browse 6
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.