Question

Frances has 8 tulip bulbs, 10 daffodil bulbs, and 7 crocus bulbs. In how many ways can Frances plant these bulbs in a border along the edge of her garden? (Remember that all 8 tulip bulbs are the same, all 10 daffodil bulbs are the same, and all 7 crocus bulbs are the same.)

Answer 1

Answer: 21034470600

Explanation:

Given : The number of number of tulip bulbs = 8

The number of daffodil bulbs = 10

The number of crocus bulbs = 7

Total bulbs = 10+8+7=25

We know that the number of permutations to arrange n objects , where k are of one kinds , m are of another kind and so on is

`(n!)/(m!k!....)`

Now, the number of ways by which Frances can plant these bulbs in a border along the edge of her garden :-

`(25!)/(10!8!7!)=21034470600`