Question

how many numbers of at least three digits can be formed from the integers 1,2,3,4,5,6

Answer 1

Answer:

Assuming numbers up to 6 digits long are allowed, the answer will have the following:

3-digit numbers with distinct digits from the set [1, 2, 3, 4, 5, 6].

The numbers must contain at least three digit and can go above that which means the answer has 3 4 5 and 6 digits all together.

For three digits , there will be 6*5*4 = 120

For 4 Digits, There will be 6*5*4*3=360 possible numbers

For 5 digits , there will be 6*5*4*3*2 = 6! = 720

For 6 digits, there will be 6*5*4*3*2*1 = 6! = 720

Now add them up = 120+360+2*720 = 1920

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Answer 2

Answer:

120

Step-by-step explanation:

6!/(6-3)!

6!/3!

6×5×4×3×2×1/3×2×1

720/6

120