Respuesta :
Answer:
a. 100
b. 40
c. 20
d. 100
e. 40
Step-by-step explanation:
The given numbers are 1, 3, 5, 7, 9, 0
If the repetitions are not allowed,
(a) Let the three digit number is xyz.
At x number of digits that can be placed = 5 [except 0]
At y we can place digits = 5
At z number of digits we can place = 4
Total number of digits that can be formed = 5×5×4 = 100
(b). Numbers formed which are less than 500.
Let the number is in the form of xyz
Then x will be less than 5 to form numbers less than 500.
So possible number of digits at x = 2 [1, 3]
Possible number of digits at y = 5
Possible number of digits at z = 4
Total numbers formed = 2×5×4 = 40
(c) Even numbers will have 0 at the place of z.
Then number of digits at x may come = 5
Number of digits at y = 4
At z only one digit may come.
Therefore, number of even numbers formed = 5×4×1
= 20 numbers
(d) Odd number means at z there should be any one out of 1, 3, 5, 7, 9.
Therefore, at z number of digits may come = 5
At x number of digits may come = 5
At y number of digits may come = 4
Total odd numbers = 5×5×4 = 100
(e) Multiple of 5 means at z there may be either 0 or 5.
So numbers having 0 or 5 at z = 2
Now digits that may come at x = 5
Digits that may come at y = 4
Total numbers may be formed = 2×5×4 = 40
