dheerajrav/Bowling

## Bowling
1. How is the third test case in the sample test case 1?

ans: for the testcase 1 25, only 1 situation is possible. A Strike, A spare and an extra ball using which we can get a 5. 10 9 6 isn't a valid bowling score as for that frame, a strike in the first try and a 9 in the second try will leave 1 pin on the bowling alley and not 6. Hence only 1 valid case results in a score of 25.

For more information on bowling scoring check
https://en.wikipedia.org/wiki/Ten-pin_bowling#Rules_of_play

## Exchange
1. Is the matrix symmetric?
ans: Yes

2. Is the permutation transitive?
ans: yes. Matrix serves as a checker for every permutation P starting from the initial permutation that one reads as the input. The same is clearly explained in the second sample test case.

## nCr
1. Output not matching

ans: The answer is num%142857 and not just the nCr answer.

2. 142857 isn't a prime. Is it intentional?

ans: Yes!! it is intentional. Some numbers are special and 142857 is one among them though it isn't a prime

## Random number generator
1. Why isn't the answer 1/4 for the first sample test case.

ans: The trick lies in the space the input rests in. Its REAL numbers and not INTEGERS. So, the asnwer is 1/2 and not 1/4.

2. If a random number generates between 0 and M are 0 and M included does it affect my strategy if I assume either?

ans: No! Real numbers have a limit of 0 at any integer value. Its always limiting. So, it doesn't matter if 0 and M are included or excluded. For clarity sake a random number generates a number in the range [0..M]
	1. How is the third test case in the sample test case 1?

	ans: for the testcase 1 25, only 1 situation is possible. A Strike, A spare and an extra ball using which we can get a 5. 10 9 6 isn't a valid bowling score as for that frame, a strike in the first try and a 9 in the second try will leave 1 pin on the bowling alley and not 6. Hence only 1 valid case results in a score of 25.

	For more information on bowling scoring check
	https://en.wikipedia.org/wiki/Ten-pin_bowling#Rules_of_play
	1. Is the matrix symmetric?
	ans: Yes

	2. Is the permutation transitive?
	ans: yes. Matrix serves as a checker for every permutation P starting from the initial permutation that one reads as the input. The same is clearly explained in the second sample test case.
	1. Output not matching

	ans: The answer is num%142857 and not just the nCr answer.

	2. 142857 isn't a prime. Is it intentional?

	ans: Yes!! it is intentional. Some numbers are special and 142857 is one among them though it isn't a prime
	1. Why isn't the answer 1/4 for the first sample test case.

	ans: The trick lies in the space the input rests in. Its REAL numbers and not INTEGERS. So, the asnwer is 1/2 and not 1/4.

	2. If a random number generates between 0 and M are 0 and M included does it affect my strategy if I assume either?

	ans: No! Real numbers have a limit of 0 at any integer value. Its always limiting. So, it doesn't matter if 0 and M are included or excluded. For clarity sake a random number generates a number in the range [0..M]