How many different ways can four team members from the group of fiftee

1.	How many different ways can four team members from the group of fifteen be lined up for a photograph?
Answer» To form a TEAM of 4 from the 15 people: Number of choices for the first PERSON = 15 (That is, any of the 15 people) Number of choices for the second person = 14 (That is, any of the 14, excluding the one chosen earlier) Number of choices for the third person = 13 (That is, any of the 13, excluding the ONES chosen earlier) Number of choices for the fourth person = 12 (That is, any of the 12, excluding the ones chosen earlier) Find the number of possible combinations: Number of possible combinations = 15 x 14 x 13 x 12 = 32760 Answer: 32760 different combinations

How many different ways can four team members from the group of fifteen be lined up for a photograph?

Answer»

To form a TEAM of 4 from the 15 people:

Number of choices for the first PERSON = 15 (That is, any of the 15 people)

Number of choices for the second person = 14 (That is, any of the 14, excluding the one chosen earlier)

Number of choices for the third person = 13 (That is, any of the 13, excluding the ONES chosen earlier)

Number of choices for the fourth person = 12 (That is, any of the 12, excluding the ones chosen earlier)

Find the number of possible combinations:

Number of possible combinations = 15 x 14 x 13 x 12 = 32760

Answer: 32760 different combinations

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