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How many six digit numbers can be formed from the digits 1,2,3

Question

How many six digit numbers can be formed from the digits $1, 2, 3, 4, 5, 6$ which are divisible by $4$ and digits are not repeated?

122

192

164

155

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Michael Discussed

How many six digit numbers can be formed from the digits

1, 2, 3, 4, 5, 6

which are divisible by

4

and digits are not repeated?

15 mins ago

Discuss this question LIVE

15 mins ago

Text solutionVerified

Since the number should be divisible by

4

the last

2

digit must be one of the following

: 12, 16, 24, 32, 36, 52, 56, 64 = 8

Possibilities.

The first

4

digits can be filled by the remaining

4

numbers in each case.

\Rightarrow

Permutations

= 8 \times^{4} P_{4} = 8 \times 4! = 192.

Hence, the answer is

192.

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Question Text	How many six digit numbers can be formed from the digits $1, 2, 3, 4, 5, 6$ which are divisible by $4$ and digits are not repeated?
Answer Type	Text solution:1
Upvotes	151