Arug manufacturer has decided to use 7 compatible colors in her rugs. however, in weaving a rug, only 5 spindles can be used. in advertising, the rug manufacturer wants to indicate the number of different color groupings for sale. how many color groupings using the seven colors taken five at a time are there? (this assumes that 5 different colors will go into each rug, i. e., there are no repetitions of color.)

Ultravision inc. anticipates sales of $280,000 from january through april. materials will represent 50 percent of sales, and because of level production, material purchases will be equal for each month during the four months of january, february, march, and april. materials are paid for one month after the month purchased. materials purchased in december of last year were $24,000 (half of $48,000 in sales). labor costs for each of the four months are slightly different due to a provision in the labor contract in which bonuses are paid in february and april. the labor figures are: january $14,000 february 17,000 march 14,000 april 19,000 fixed overhead is $10,000 per month. prepare a schedule of cash payments for january through april. (assume the $280,000 of sales occur equally over the four months of january through april, i. e. monthly sales = $280,000 / 4.)