If each letter cannot be used more than once

Monday, 22 April 2019

6:58 PM

Machine generated alternative text:
If each letter cannot be used more than once then how many 10-letter strings
a)
contain exactly one vowel?
comb (10, 1) 1) *perm (21, 9)
IOC5Pi21P9

Machine generated alternative text:
a) The answer is the product of:
• The number ofways to choose position forthe vowel: C(IO, 1),
• The number ofways to choose the vowel: P(5, 1),
• The number ofways to fill the rest ofthe word with consonants: P(21, 9).

Machine generated alternative text:
b)
contain exactly two vowels?
comb (10, 2) *perm (S, 2) *perm (21, 8)
OC9P221P8

Machine generated alternative text:
b) The answer is the product of:
• The number ofways to choose position fortwo vowels: C(IO, 2),
• The number ofways to choose two vowel: P(5, 2),
• The number ofways to fill the rest ofthe word with consonants: P(21, 8).

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