SOLUTION: three-digit numbers are formed using the digits 2, 4, 5, and 7, with repetition of digits allowed. how many such numbers can be formed if (a) the numbers are less than 700 (b) t

Algebra ->  Probability-and-statistics -> SOLUTION: three-digit numbers are formed using the digits 2, 4, 5, and 7, with repetition of digits allowed. how many such numbers can be formed if (a) the numbers are less than 700 (b) t      Log On


   



Question 1133838: three-digit numbers are formed using the digits 2, 4, 5, and 7, with repetition of digits allowed. how many such numbers can be formed if
(a) the numbers are less than 700
(b) the numbers are even
(c) the numbers are divisible by 5

Answer by greenestamps(13200) About Me  (Show Source):
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(a) the numbers are less than 700

3 choices for the hundreds digit; 4 choices each for the other two: 3*4*4 = 48

(b) the numbers are even

2 choices for the units digit; 4 choices each for the other two: 2*4*4 = 32

(c) the numbers are divisible by 5

1 choice for the units digit; 4 choices each for the other two: 1*4*4 = 16

Total 48+32+16 = 96