A tennis club has 15 members: eight women and seven men.?

Question

How many different teams may be formed consisting of one woman and one man on the team?

Answer 1

8*7

there are 8 ways to chose the woman and 7 ways to chose the man. Using the General Counting Principle, you multiply.

56 different teams can be formed.

Answer 2

The number of teams that can be formed using 1 women and 1 men = 8C1 X 7C1 = 8 X 7 = 56

Answer 3

8 X 7 = 56 teams

Answer 4

You can choose womens in 8 different ways and men in 7 different ways so total number of ways = 8 × 7 = 56 teams.

Answer 5

W1 W2 W3 W4 W5 W6 W7 W8 x M1M2 M3 M4 M5 M6 M7

for women = 8 difeferent women

and for men= 7 different men

multiply those two which would give you 56

Answer 6

If a team is two people (one man and one woman), then the number of women multiplied by the number of men.

8 * 7 = 56

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If a team is four people (two men and two women with one man and one women on each side), then the number of men multiplied by the number of women multiplied by the number of remaining men multiplied by the number of remaining women 8 * 7 * 7 * 6 divided by two, because M1W1 vs M2W2 is the same as M2W2 vs M1W1.

(8 * 7 * 7 * 6) / 2 = 1176

Or if you understand factorials, pick 2 from 8 multiplied by pick 2 from 7 multiplied by the allowable combinations of two men and two women

(8! / (6! 2!)) * (7! / (5! 2!)) * 2

(8 * 7 / 2) * (7 * 6 / 2) * 2

(8 * 7 * 7 * 6) / 2

Answer 7

women=8 men=7 no:of teams=7x8=56

Answer 8

56

Answer 9

8*7

Answer 10

8*7