Question

Hexadecimal digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C,...

Hexadecimal digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, and F. (Please explain briefly)

  1. How many hexadecimal strings of length ten have at least three E’s?
  2. How many hexadecimal strings of length ten have exactly two A’s and at most two B’s?
  3. How many hexadecimal strings of length ten have six digits from the set 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 and four digits from the set A, B, C, D, E, F? No repetition is allowed.
  4. How many hexadecimal strings of length ten have exactly four A’s and all remaining digits distinct from each other?
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Answer #1

H etade ciml dits ant 6, 1, 2, 3, 4,5, 6,7,8, 9 , A,B, C, D, E, F 1 o ciids 16 total chractens Aende amal string-ib-10 Length a) A least 3 Es lotal Comloinctions3) 0 Lo OTh en 구 ladeimat 5Ari oit al leas+ 3Es 3 เ) Exactly 2 As e almost ebs. and和 Aemaining 8 chancickens-in string A) ossii e> & oiher So at most 2B>

一Na repetition- --) 6 dligits drom set , 2, 3, 4, S,6, 7,8,7j lets Auke one where first 6 digits are Trom 4 diak- No these 6

scn have (10 possilaiiteg mainiy 6 chanactera these 4 As can rave (10) Þossi aiuties au ou e distinct non each othar go s becuuse et excludi A) so

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