WILL CHOOSE BRAINIEST How many 6-digit numbers, formed using each digit from 1 to 6 exactly once, are divisible by: a.)5 b.)6 c.

Question

4 years ago

9

)12 d.)25

2 answers:

Natasha_Volkova [10] · Answer 1 · 2021-11-16T00:17:47+03:00

6 0

D) 25 tell me if I did it righ

andrew11 [14] · Answer 2 · 2021-11-16T02:15:44+03:00

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