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the number of six digit numbers that are divisible by 10 which can be formed using the digits 1,2,7,0,9,5?

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TCS Other Question

how many three digit odd numbers can be formed from the digits 1,2,3,4,5 and 6 when
(a) repetition is not allowed
(b) repetition is allowed
in how many ways the letters algebra can be arranged in a row if
(a) the two a`s are together?
(b) the two a`s are not together?