How many words we can make with the letters of the word GENETICS?
Letters can not be reused.
Here is the hint:
Permutations without Repetition
In this case, we have to reduce the number of available choices each time.
Example: what order could 16 pool balls be in?
After choosing, say, number "14" we can't choose it again.
So, our first choice has 16 possibilities, and our next choice has 15 possibilities, then 14, 13, 12, 11, ... etc. And the total permutations are:
16 × 15 × 14 × 13 × ... = 20,922,789,888,000
But maybe we don't want to choose them all, just 3 of them, and that is then:
16 × 15 × 14 = 3,360
For the answer watch the video: