Question

Determine the largest power of 3 that divides 126! [03]
(b) What is the coefficient of x28y15 in the expansion of (7x-3y) 43?

Answer 1

Answer:

internelindofbshknxfgjc

Answer 2

Calculating the Highest power of a number in a factorial.

If p is prime number, then the highest power of p in a factorial n is given by

[n/p] + [n/p^2] + [n/p^3] + . . .

Therefore,

[126/3] + [126/9] + [126/27] + [126/81] + [126/243]

= 42 + 14 + 4 + 1 + 0

= 71

Thus the largest power of 3 that divides 126! is 71.