To calculate the number of happening of an event, N chooses K tool is used. N is the sum of data and K is the number that we chose from the sum of data.
The formula for N choose K formula is
:\(C(n, k)= n!/[k!(n-k)!] \)Where,
n is the total number
k is the number of selected item
Solved Examples
Question 1: How many ways to draw exactly 6 cards from a pack of 10 cards?
Solution:
From the question, it is clear that,
N = 10
N = 6
So the formula for n choose k is,\(C(n, k)= n!/[k!(n-k)!] 610C=10!6!(10−6)!=362880017280 \)= 210
So, there are 210 ways of drawing 6 cards in a pack of 10.
This formula and topic is very useful in solving various types of problems I recommend that you you practice this topic until you feel like you can solve and N choose K question.
Here to help
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