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find the total no. of ways of selecting 5 letters from the word INDEPENDENT using binomial theoram

find the total no. of ways of selecting 5 letters from the word INDEPENDENT using binomial theoram
 

Grade:12th pass

1 Answers

Arun
25750 Points
4 years ago
Dear student
 
I – 1
N – 3
D – 2
E – 3
P – 1
T – 1
 
for selecting 5 letters
 
3 alike 2 alike + 3 alike 1 diff 1 diff + 2 alike 2 alike 1 diff + 2 alike 1 diff 1 diff 1diff + all diff
 
2C1 * 1 + 3C1 * 5C2 + 3C2 * 4C1 + 3C1 * 5C3 +  6C5
 
 = 2 + 30 + 12 + 30 + 6 = 80

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