Question

A group of seven mountain climbers wishes to form a mountain climbing team of five.how many different teams could be formed?

Answer 1

7 choose 5
= 7C5
= 7!/((7-5)!5!)
= ?

! means factorial.

Answer 2

21

Answer 3

Answer its 24

Answer 4

21

Answer 5

35 teams

Answer 6

35 teams

Answer 7

21

Answer 8

The correct answer is 21.

To choose a team of 5 from a group of 7 climbers, you can use the combination formula:

nCr = n! / r!(n-r)!

where n is the total number of climbers (7) and r is the number of climbers you want to choose for the team (5).

So, 7C5 = 7! / 5!(7-5)!
= 7! / 5!2!
= (7 x 6 x 5 x 4 x 3) / (2 x 1)
= 21

Therefore, there are 21 different teams that can be formed.