Q.1 – Q.2 , Q.3 – Q.4 Q.5 , Q.6 , Q.7 , Q.9 , Q. 10 , Q. 11 Q.12 , Q.13 , Q. 14 , Q. 15 Q.16 to Q. 19
Answer 9
As the order is not important, this problem is based on combination theory
Apply the formula for combination
Answer 10
(a). To award the prize 1st, 2nd and 3rd , we will go for permutation theory as the order is important
8 contestants; so choices available for first prize = 8
Choices available for 2nd prize = 7
Choices available for 3rd prize = 6
Total choices available are = 8 x 7 x 6
Total choices available are =336
(b).
Groups of three people can get prizes ;
nCr = n!/ r!(n-r)!
= 8! / 3! (8-3)!
= 8 x 7 x 6 x 5!/ 3 x 2 x 1 x 5!
= 56
Q.1 – Q.2 , Q.3 – Q.4 Q.5 , Q.6 , Q.7 , Q.9 , Q. 10 , Q. 11 Q.12 , Q.13 , Q. 14 , Q. 15 Q.16 to Q. 19
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