This is written as 35 over 5 (35 on top, 5 at the bottom, between big parentheses, without a dividing line as in a fraction), and is calculated as (35 x 34 x 33 x 32 x 31) / (1 x 2 x 3 x 4 x 5).
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5
100
35
35 or 243
The number of combinations of 35 things taken 5 at a time is 35! / (5! * (35-5)! which is 35! / (5! * 30!). 35! / 30! is 35 * 34 * 33 * 32 * 31, and 5! is 120. After cancelling we are left with 7 * 34 * 11 * 4 * 31 which is 324,632