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4. How many numbers of three different digits can be made by using the digits 1, 2, 3, 4,5,6? How many of them are even?​

User Bigskull
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2 Answers

3 votes

Answer:

How many numbers of most three different digits can be formed from integers 1, 2, 3, 4, 5, and 6? Answer: 120 three-digit + 30 two-digit + 6 one-digit = 156 numbers be formed using 3 different digit at most.

Explanation:

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User Katoch
by
8.3k points
2 votes

Answer:

Let the 3 digits are xyz.

For x we have 6 options, for y - 5, for z - 4 since all digits are different.

Number of options:

  • 6*5*4 = 120

Even numbers will have z = 2, 4 or 6, then

x - 5 options, y - 4 options

Number of options:

  • 5*4*3 = 60

User Rivky
by
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