Question

The English alphabet contains 21 consonants and five vowels. How many strings of six lowercase letters of the English alphabet contain i. exactly one vowel? ii. at most three vowels? iii. at least three vowels?

Name: the english alphabet contains 21 consonants and five vowels how many strings of six lowercase letters of the english alphabet contain i exactly one vowel ii at most three vowels iii at least 54006
Uploaded: 2023-07-18T13:28:01-08:00
Duration: 2 min 58 s
Channel: Madhur L
Description: the english alphabet contains 21 consonants and five vowels how many strings of six lowercase letters of the english alphabet contain i exactly one vowel ii at most three vowels iii at least 54006

          The English alphabet contains 21 consonants and five vowels. How
many strings of six lowercase letters of the English alphabet
contain
i. exactly one vowel?
ii. at most three vowels?
iii. at least three vowels?

Added by Nathan V.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Madhur L

07/18/2023

Step 1

exactly one vowel: We have 6 positions for the vowel, and 5 choices for the vowel. For each of the remaining 5 positions, we have 21 choices for a consonant. So the total number of strings with exactly one vowel is: $$6 \times 5 \times 21^5$$ ii. at most three Show more…

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The English alphabet contains 21 consonants and five vowels. How many strings of six lowercase letters of the English alphabet contain i. exactly one vowel? ii. at most three vowels? iii. at least three vowels?