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Permutation: n Different Things Taken r at a Time

The number of...

Question

The number of 5 digit numbers in which no two consecutive digits are identical

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Solution

1st digit can be 1 to 9 = 9 ways
2nd digit can be 0 to 8 = 9 ways (we consumed 1 digit already in the 1st didgit)
3rd digit can be 0 to 7 = 8 ways
4th digit can be 0 to 6 = 7 ways
5th digit can be 0 to 5 = 6 ways

Required number = 99876

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Permutation: n Different Things Taken r at a Time

Standard XII Mathematics

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