how would i figure this out??

kaya has roses, lillies, tulips, dasies and poppies growing in her backyard. she wants to make a bouquet for her friend. how many combinations of types of flowers can kaya have in the bouquet is she uses:

a. exactly 1 type of flower
b. exactly 2 types of flowers
c. exactly 3 types of flowers
d. at least 3 types of flowers

please help!!!

87

no like an answer for a an answer for b an answer for c and an answer for d not one big answer

To figure out the number of combinations of types of flowers Kaya can have in the bouquet, we can use the concept of combinations.

a. To find out how many combinations are possible if Kaya uses exactly 1 type of flower, we need to count the number of flowers she has. Since she has 5 types of flowers, there are 5 possible combinations.

b. To calculate the number of combinations if Kaya uses exactly 2 types of flowers, we need to use combinations with 2 options from the given 5 types of flowers. The formula for combinations is nCr = n! / (r!(n-r)!), where n is the total number of options and r is the desired number of choices. Applying this formula, we have 5C2 = 5! / (2!(5-2)!) = 10 possible combinations.

c. For exactly 3 types of flowers, using the same concept, we need to calculate 5C3 = 5! / (3!(5-3)!) = 10 possible combinations.

d. To determine how many combinations of at least 3 types of flowers Kaya can have, we can add the combinations from the previous cases and the maximum possible combination (when all 5 types are used). So, it is 1 (from case a) + 10 (from case b) + 10 (from case c) + 1 (maximum combination of all 5) = 22 possible combinations.

Therefore, the answers to the questions are:
a. 5 combinations
b. 10 combinations
c. 10 combinations
d. 22 combinations