Counting Jewish People

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  1. It's permissible to count in one's mind without speaking or pointing as long as there's some purpose of the count. [1]
  2. It's permitted to count through another item than the person himself such as a coin or a finger. [2]
  3. It’s a problem of counting Jewish people for people or children standing in a line for each one to say his number. [3]

References

  1. Sh"t Tzitz Eliezer 7:3:8, Minchat Asher (Bamidbar 1) in name of the Kaf HaChaim Sofer and Kaf HaChaim Palagi. Piskei Teshuvot (end of 156) quotes someone who is strict unless it's for a mitzvah.
  2. Sh"t Tzitz Eliezer 7:3:8
  3. Shevet HaLevi 1:34