



 
Hi Gerald, I am going to look at a similar problem. I have 8 tulip bulbs and 5 daffodil bulbs.
The key here is to know that the number of ways of choosing k things from n things is n!/[(nk)! k!]. Thus the number of ways of choosing 3 tulip bulbs from 8 tulip bulbs is 8!/[(83)! 3!] = [8 * 7 * 6]/[3 * 2 * 1] = 56. Likewise the number of ways of choosing 2 daffodil bulbs from 5 daffodils is 5!/[(52)! 2!] = [5 * 4]/[2 * 1] = 10. Thus the number of ways of choosing 3 tulips and 2 daffodils is 5610 = 560. For part b) first find the number of ways of choosing 4 tulip bulbs from the 8 tulip bulbs and then the number of ways of choosing 2 bulbs from the remaining 9 bulbs. I hope this helps,  


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