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Find the number of finite sequences

Source: MTRP 2017 Class 11-Multiple Choice Question: Problem 8 :-

May 25, 2020
SequenceSummationalgebra

Problem Statement

How many finite sequances x1,x2,,xmx_1,x_2,\cdots,x_m are there such that xi=1x_i=1 or 2 and i=1mxi=10\sum \limits_{i=1}^mx_i=10 ?
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