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Natalija [7]
3 years ago
7

Can anybody correct me if I'm wrong? (I might be mixing my answers / questions up a bit) I also need more to be checked but anyw

ays I'm very thankful for those who read into this.

Mathematics
1 answer:
stepan [7]3 years ago
7 0
For #32, the answer is the third one because you mixed up your x and y values, you were on the right track though
#33 is the last one
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Consider generating length-7 strings of lowercase letters. How many strings are there that either begin with 2 consonants or end
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Answer:

5259544316

Step-by-step explanation:

Given that:

Length of string = 7

Either begins with 2 consonants or ends with 2 vowels :

Either or :

A U B = A + B - (AnB)

Number of vowels in alphabet = 5

Number of consonants = 21

2 consonants at beginning :

First 2 consonants, then the rest could be any:

21 * 21 * 26 * 26 * 26 * 26 * 26 = 5239686816

3 vowels at the end :

First 4 letters could be any alphabet ; last 3 should be vowels.:

26 * 26 * 26 * 26 * 5 * 5 * 5 = 57122000

2 consonants at beginning and 3 vowels at the end :

21 * 21 * 26 *26 *5* 5 * 5 = 37264500

Hence,

2 consonants at beginning + 3 vowels at end 2 consonants at beginning - 2 consonants at beginning and 3 vowels At end

(5239686816 + 57122000) - 37264500

= 5259544316

Hence, number of 7 alphabet strings that begins with 2 consonants and end with 3 vowels = 5259544316

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