python random int append to list and count "x" top numbers that occurred and number of times int occurred

New to python so all help is appreciated! I did check and found several count post but couldn't find any that print the top occurrences from the list. (ie 3 occurred 6x, 4 occurred 4x and 2 occurred 3x)

Goal: I'd like to have the code print 1000 numbers 0,1000 randomly and then be able to choose how many to show.

so for example num = [0,5,12,5, 22,12,0 ,32,22,0,0,5] I want to be able to see say the top 3 repeated numbers and how many times that number occurred. 0-4times, 5-3times, 12-2times.

code Progression #valid attempts are made

Prints 1000 times randomly

import random

for x in range(1001):
    print(random.randint(0,1001))

Append the randint directly to num

import random

num = []
for x in range(1001):
    num.append(random.randint(0,1001))

print(num)

Includes prompt to get how many integers you want to see.

import random

num = []
for x in range(1001):
    num.append(random.randint(0,1001))

highscore = input("Please enter howmany numbers you'd like to see: ")
print("The top", highscore, "repeated numbers are: ", num)

Issues left: how to print highscore's count for num (this part 0-4times, 5-3times, 12-2times.)

Attempt at count issue (prints 0 every time. added num to print to confirm if "y" was in the list)

import random

#creates list
num = []
for x in range(0,10):
    num.append(random.randint(0,10))

highscore = input("input number of reoccurrence's you want to see: ")
y = num.count(highscore)
print(num, y)