A committee of 4 is to be chosen from a group of students. If the number of students in the group increases by 1, the number of different committees doubles. How many students are in the group?
Let x be the number of students.
2*(x)(x-1)(x-2)(x-3)/24 = (x+1)(x)(x-1)(x-2)/24
2(x-3) = (x+1)
2x-6 = x+1
x = 7
I hope this helped. :))
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