Selecting 6 numbers from 1 to 33 can form 1 107568 unordered sequence and ordered sequence 797448960.

Solution:

1、C(6，33)

=(33×32×3 1×30×29×28)/(6×5×4×3×2× 1)

= 1 107568?

2、C(6，33)

=33*32*3 1*30*29*28

=797448960。

Extended data

For example:

1-33, the first two digits must be single digits, and six digits are arranged in groups, and the digits must be arranged from small to large:

Analysis:

Queue from 1-33 from small to large,

1-9, leaving 6 >; = n & gt=2,

10-33 is followed by 6-n.

C(m, n) represents the combination of m and n.

C(9，2)C(24，4) +C(9，3)C(24，3) +C(9，4)C(24，2) +C(9，5)C(24， 1) +C(9，6)C(24，0)

=382536+ 1700 16+ 34776+3024+84

=590436。