The probability that a 7-digit number whose sum of digits is 59 is divisible by 11 is abGCDa,b=1 then the value of a + b is k, then which is / are correct

k is a two digited number , k is square of a integer , k is a composite number

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The probability that a 7-digit number whose sum of digits is 59 is divisible by 11 is $\frac{a}{b} (G C D (a, b) = 1)$ then the value of a + b is k, then which is / are correct

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k is a two digited number

k is square of a integer

k is a multiple of 10

k is a composite number

answer is A, B, D.

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Possible combinations are (9,9,9,8,8,8,8) / (9,9,9,9,8,7,7) / (9,9,9,9,9,7,7) / (9,9,9,9,9,6,8) / (9,9,9,9,9,9,5)

Required Probability = 4/21

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