if each participant of a chess tournament plays exactly one game with each of the remaining participants, then 253 games will be played during the tournament. what is the number of participants?	Pick:	A) 21	B) 22	C) 23	D) 24	E) 25
<gadget id="calculator">253 * 2</gadget>
<output>506</output>

<gadget id="calculator">506 * 4</gadget>
<output>2_024</output>

<gadget id="calculator">2_024 + 1</gadget>
<output>2_025</output>

<gadget id="calculator">2_025 ** (1/2)</gadget>
<output>45</output>

<gadget id="calculator">45 + 1</gadget>
<output>46</output>

<gadget id="calculator">46 / 2</gadget>
<output>23</output>

<result>C</result>
if each participant of a chess tournament plays exactly one game with each of the remaining participants, then 253 games will be played during the tournament. what is the number of participants?
divide(add(sqrt(add(multiply(multiply(253, const_2), const_4), const_1)), const_1), const_2)
"let n be the number of participants . the number of games is nc 2 = n * ( n - 1 ) / 2 = 253 n * ( n - 1 ) = 506 = 23 * 22 ( trial and error ) the answer is c ."