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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