Balloons and confetti are sold in different colours at a store. Balloons of three different colours and confetti of two different colours are to be bought by Jim Bob Jones from this store. If there are seven colours of balloons available and if there are a total of 350 combinations of different colours of balloons and confetti that can be purchased, how many colours of confetti are available at the store?	Choose the correct choice from the following answers
A) 4	B) 5	C) 6	D) 8	E) 10
350 = Ways of choosing 3 balloon colors * ways of choosing 2 confetti colors   Jim can select 3 colors of balloons in 7C3 = 7*6*5/3*2 = 35 ways   So Ways of choosing 2 confetti colors = 350/35= 
<gadget id="calculator">350/35</gadget>
<output>10</output>
10   If there are n different confetti colors, nC2= 10 = n(n-1)/2   n = 5 satisfies this equation   Answer (5)
<result>B</result>
Balloons and confetti are sold in different colours at a store. Balloons of three different colours and confetti of two different colours are to be bought by Jim Bob Jones from this store. If there are seven colours of balloons available and if there are a total of 350 combinations of different colours of balloons and confetti that can be purchased, how many colours of confetti are available at the store?