You are buying flower arrangements. There are 12 types of flowers. You can afford 3 types of flowers. How many?
different arrangements can you choose?
please help thank u word problems are worth a lot in the final.
12C3=(12*11*10)/(3*2*1)=220
You use combinations rather than permutations because order does not matter. That is, peonies, roses, daffodils is the same as daffodils, roses, peonies.
June 27th, 2010 at 1:20 am
12×11x10=1320
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June 27th, 2010 at 1:38 am
Let C(n,r) combination of n with r. You choose "r" objects from "n"
C(12,3)=12!/9!/3!=220
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June 27th, 2010 at 1:58 am
12C3=(12*11*10)/(3*2*1)=220
You use combinations rather than permutations because order does not matter. That is, peonies, roses, daffodils is the same as daffodils, roses, peonies.
References :
June 27th, 2010 at 2:05 am
here we are to apply permutation because we are asked about arrangements.
we have to chose three flowers.
for the first choice we have 12 possibilities.
after chosing one, from the remaining 11 flowers we have 11 possibilities for second flower.
for third, we have 10 possibilities from the rest ten flowers.
so using the fundamental principle of counting, total no. of arrangements are= 12 * 11 * 10 = 1320
Good Luck
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June 27th, 2010 at 2:32 am
12c3=220
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