Math, asked by lovingd, 9 months ago

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

Answered by amitnrw
0

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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