math
posted by navroz .
the cookie monster has a package of cookies with him consisting of 4 chocolate chip, 5 raisin and 6 almond nut, 7 other different assorted cookies. if he reaches into the package and eats all the cookies, eating one cookie at a time, how many different eating orders are there? 22!

why is the denominator 4!5!6!????

I was about to go into an explanation, when I noticed that Steve had answered this exact question already in your previous post.
Please do not post the same question again without checking if your previous post of that question has been answered. This way we can avoid unnecessary duplication on the part of the tutors.