A church has 10 bells in its bell tower. before each church service 3 bells are rung in sequence. no bell is rung more than once. how many sequences are there?
Question
Answer:
To solve this problem you must apply the proccedure shown below:1. You must apply the following Permutation formula:
nPr=n!/(n-r)!
Where n=8 and r=3
2. Therefore, you have:
n!=8!=8x7x6x5x4x3x2x1=40320
(n-r)!=(8-3)!=5!=5x4x3x2x1=120
3. Then, when you substitute this values into the formula shown above, you obtain:
nPr=n!/(n-r)!
nPr=40320/120=336
4. Therefore, as you can see, the answer is: 336
solved
general
10 months ago
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