TELL ME, WHAT ISTHE USE OF PASCAL TRIANGLE IN OUR DAILY LIFE?

1 ANSWERS

1. Stephen : Guest 1124...
   

   In probability you use it, because every entry is of the form nCr, where n is the row number (starting with 0) and r is the column number (starting with 0) also, it'll tell you the number of subsets of size r from a set of size n. that's the definition of nCr. but the sum of the nth row of pascal's triangle is the number of possible subsets of a set of size n. therefore, the sum of each row is 2^n. this is the cardinality of the power set of a set of n elements. also, you use it in binomial expansion. if you want to expand (a+b)^n, then the entries on the nth row of pascal's triangle correspond to the coefficients of each term in the expansion (each term is of the form (a^m)(b^(n-m)) for all m < or = n

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