4) a) i) In a Group election the top 3 are given position. If there were 8 candidates how many possible option could be given for the positions of President, Vice President and Information Officer?
Answers
336 possible options could be given for the positions of President, Vice President and Information Officer
Step-by-step explanation:
there were 8 candidates
3 Position
3 people out of 8 can be selected in ⁸C₃
= 8 * 7 * 6 /( 3 * 2 * 1)
= 56 ways
56 possible option could be given for the 3 positions
now three people in 3 position can be selected in 3! ways
= 6 Ways
Total number of Ways = 56 * 6 = 336
336 possible options could be given for the positions of President, Vice President and Information Officer
Other ways
there are three positions :
1st position can be taken by any of the 8 candidates
2nd position can be taken by any of the remaining 7 candidates
3rd position can be taken by any of the remaining 6 candidates
Number of Ways = 8 * 7 * 6 = 336
336 possible options could be given for the positions of President, Vice President and Information Officer
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