Advanced Placement (AP)

In how many ways can we give six identical pens to three students (note that a student can get zero pens) Let A be a set of natural numbers from 1 to 10. How many ordered triples (x, y, z) are there such that x belongs to A, y belongs to A and z belongs to a. Also x

In an arithmetic progression, a5+a8+a11=28, and a14+a17+a20 =44. Find common difference.

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In how many ways can we give six identical pens to three students (note that a student can get zero...

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