Answer:
a) divisible by 5: 120 numbers
b) divisible by 6: 360 numbers
c) divisible by 12: 192 numbers
d) divisible by 25: 24 numbers
Step-by-step explanation:
6-digit numbers => the numbers have the form abcdef
a.) divisible by 5
f = {5}
a 5 values; b 4 values, c 3 values, d 2 values , e 1 value, f 1 value
=> 5 * 4 * 3 * 2 * 1 * 1 = 120 numbers
b.) divisible by 6
f = {2; 4; 6}
a 5 values; b 4 values, c 3 values, d 2 values, e 1 value, f 3 values
=> 5 * 4 * 3 * 2 * 1 * 3 = 360 numbers
c.) divisible by 12
ef = {12; 16; 24; 32; 36; 52; 56; 64}
a 4 values; b 3 values, c 2 values, d 1 value, ef 8 values
=> 4 * 3 * 2 * 1 * 8 =192 numbers
d.) divisible by 25
ef = {25}
a 4 values; b 3 values, c 2 values, d 1 values, ef 1 value
=> 4 * 3 * 2 *1*1 = 24 numbers
