A Plate Uses 2 Letters Followed By 3 Digits.How Many Ways Can A Plate Number Be Printed Such That The Letter Used Are Vowels And The Digits Only Conta
A plate uses 2 letters followed by 3 digits.How many ways can a plate number be printed such that the letter used are vowels and the digits only contain 5,6,and7;and there are no repititions?
Answer:
120 ways
Step-by-step explanation:
A plate uses 2 letters followed by 3 digits.How many ways can a plate number be printed such that the letter used are vowels and the digits only contain 5,6,and7;and there are no repititions?
____ ____ ___ ___ ___
letter letter no. no. no.
letters (a, e, i, o, u)
numbers ( 5, 6, 7)
1st letter: 5 choices
2nd letter: 4 choices
1st digit: 3 choices
2nd digit: 2 choices
3rd digit: only one choice
= 5 × 4 × 3 × 2 × 1
= 120 ways
Therefore, there are 120 ways that a plate number can be printed.
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