Question 1197057
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It is hard for anybody to help you when the problem is not described clearly....<br>
"... 10 students with different designs of gloves."<br>
That probably mean 10 different pairs of gloves, making 20 gloves all together.  But it might mean "gloves" for taking hot dishes out of the oven, which would make only 10 gloves.<br>
"... 6 pieces of gloves."<br>
That is very strange English.  "Pieces of gloves" makes it seem that not all the gloves are intact.<br>
And your initial solution "6/60" makes it appear as if there are 60 gloves all together, which doesn't make sense any way I can interpret the problem.<br>
If the problem is 10 different pairs of gloves with the professor randomly selecting 6 of the 20 total, then write the problem that way.<br>
But as it is, we have no idea what the problem really is.<br>
Re-post clearly....<br>