Permutation and Combination
- There are 10 oranges in a basket. Find the no. of ways in which 3 oranges are chosen from the basket ?
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Required number of ways = 10C3
Correct Option: D
Required number of ways = 10C3
= 10!/ {3! (10 - 3)!} = 10! / (3! 7!) = (10 x 9 x 8) / (3 x 2) = 120
- How many groups of 6 persons can be formed from 8 men and 7 women ?
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Total no . of person = 8 + 7 = 15
No. of groups = 15C6Correct Option: B
Total no . of person = 8 + 7 = 15
No. of groups = 15C6 = 15! / {6! (15 - 6)!} = 15! / (6! 9!)
= (15 x 14 x 13 x 12 x 11 x 10) / (6 x 5 x 4 x 3 x 2 x 1)
= 5005
