Based on the information given the number of shares outstanding equals 100,000 shares.
The 1,000,000 shares is the number of shares that was authorized as well as the maximum number of shares that the company was allowed to sell.
Based on the information given we were told that the company sold out 100,000 shares out of the 1,000,000 shares and repurchased 10,000 of the 100,000 shares leaving 90,000 shares (100,000 shares-10.000 shares) as outstanding shares.
Inconclusion the number of shares outstanding equals 100,000 shares.
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