TCS Company Numerical Ability Permutation and Combination

the letters in the word ROADIE are permuted in all possiible ways and arranged in alphabetical order. find thw word in 44 th rank

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TCS Other Question

In this question A^B means A raised to the power B. let f(x)= 1+x+x^2+...x^6. The remainder when f(x^7) is divided by f(x) is:
a) 7
b) 0
c) 6
d) none of these
Mr. bean having magical balls 25 pink, 10 green, 31 red, 31 yellow, 30 purple. He
drenched in rain red, green, and yellow turn into white what is the maximum probability of a
pair of same color ?