combination and permutation

2010-12-05 11:47 pm
On a table there are 12 balls of different colours. If 6 of the balls are put into a bag and one particular must be selected,how many combination of balls are there?
ans: 462
pls show clear steps.thx

回答 (1)

2010-12-06 12:11 am
✔ 最佳答案
First of all, put the particular ball into the bag.
No. of ways = 1C1

Then, select 5 balls from the rest 11 balls and put the selected ball into the bag.
No. of ways = 11C5

Total number of ways
= 1C1 x 11C5
= 1 x (11!/5!6!)
= 462
參考: micatkie


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