I.4 Sequences of numbers of 1, 2, 3

The number of 1, 2, and 3 was put in order 70 pieces in total as

1, 3, 2, 1, 3, 2, 1, 3, 2, 1, 3, 2, ........

How many pieces are there 1 in 70 pieces?







Answer
24 pieces

Solution
When a number of 1, 3, and 2 arranged in a line are made into one group, in 70 pieces, number of this group is 23 pieces can be found by the calculation of 70/3 = 23 remainder 1.
Since remainder 1 is the first number in a group of "1,3,2", the number of remainder 1 is 1.
Therefore, the number of pieces of 1 is 23 + 1 (1 piece × 23 + 1 piece) = 24 pieces.