Counting Frequency of character

#include <stdio.h>
#include <string.h>

int main()
{
   char string[100];
   int c = 0, count[26] = {0};

   printf("Enter a string\n");
   gets(string);

   while (string[c] != '\0')
   {
     

      if (string[c] >= 'a' && string[c] <= 'z') 
         count[string[c]-'a']++;

      c++;
   }

   for (c = 0; c < 26; c++)
   {
      

      if (count[c] != 0)
         printf("%c occurs %d times in the entered string.\n",c+'a',count[c]);
   }

   return 0;
}