4、In the Fibonacci sequence, the first term and the second term are both 1, starting from the 3rd term, each term is equal to the sum of the two preceding ones. Numbers that appear in the Fibonacci sequence are called Fibonacci numbers. Express 121 as the sum of several different Fibonacci numbers, there are $\qquad$ different ways? (The same addends in a different order are considered the same way)
【Answer】 8
【Analysis】The Fibonacci numbers less than 121 are $1,1,2,3,5,8,13,21,34,55,89$. Starting from the largest 89; (1) The largest is 89, then 121-89=32, the sum of the remaining numbers is 32, $32=21+8+3=21+8+2+1=21+5+3+2+1$, there are 4 ways; (2) The largest is 54, then $89=34+55$, there are 4 more ways; In total $4 \times 2=8$ (ways)