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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?

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TCS Other Question

the number of six digit numbers that are divisible by 10 which can be formed using the digits 1,2,7,0,9,5? in how many different way the letters of the word 'allahabad' be permutted?