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Find the total number of ways of selecting 5 letters from the letters of the word INDEPENDENT.

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Letters of the word INDEPENDENT are I , P , T , DDD , NNN , EEENow,Five letters can be selected in the following ways :1 When all letters are differentNumber of ways = c56=62 When two letters are same and three are differentNumber of ways= c13×c35=3×10=303 When three letters are same and two are differentNumber of ways= c12×c25=2×10=204 When three letters are same and two are same.Number of ways= c12×c12=2×2=45 When two letters are same , two are same and one is differentNumber of ways= c23×c14=3×4=12Total selections =6+30+20+4+12=72   ANS...
 
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