Respuesta :
Answer:
2625 namely sum of three options:
All (4) digits are even: 4 possibilities for 1st digit (even but not 0) * 5 for 2nd digit (even) * 5 for 3rd * 5 for 4th = 500
First digit is odd: possibilities are 5 (1st digit odd i.e. in ‘13579’) * 5 (2nd digit even i.e. in ‘02468’) * 5 (3rd digit even) * 5(4th digit even) = 625
Second, third or fourth digit is odd: 4 (1st digit even but not 0) * 5 (even digit) * 5 (even digit) * 5 (odd digit) * 3 (odd digit can be in 2nd, 3rd or 4th position) = 1500
Answer:
2625
Step-by-step explanation:
First let's see all the possible combinations.
(Even=E, Odd= O)
1) EEEO
2) EEOE
3) EOEE
4) OEEE
5) EEEE
Now let's see what E and O possibly could be
E = 0, 2, 4, 5, 6 and 8 (5)
O = 1, 3, 5, 7, 9 (5)
Now we are just simply gonna multiply
1) EEEO = 4*5*5*5
2) EEOE = 4*5*5*5
3) EOEE = 4*5*5*5
4) OEEE = 5*5*5*5
5) EEEE = 4*5*5*5
The even contains a 0, so you can't put 0 in, so (5-1=4), there are only 4 digits for the even.
500 times 4 = 2000
5⁴ = 625
2000+625= 2625