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Israel, Egypt, Jordan, and Syria were the only nations involved in the Six Day War. Any other nation was not involved in the Six Day War.
Statehood (modern times) . . . 1948
Six Day War . . . . . 1967
The war only lasted for Six Days (June 5-10, 1967)
Jordan allied with Egypt and Syria in the Six Day War.
Both the War of Independence and the Yom Kippur War were much more costly to Israel that the Six Day War.