Question

Each year 64 golfers participate in a golf tournament the golfers play in groups of 4 how many groups of 4 golfers are possible ?​

Answer 1

Given:

Total number of golfers = 64

Groups in which golfers play = 4

To find:

The total number of groups that are possible with 4 golfers.

Solution:

Using the combination of objects method -

= $C^na$ = n! / a! ( n - a) !

Therefore,

Golfers = n - 64 and groups = a = 4

Substituting the values -

= 64! / 4! ( 64 - 4 ) !

= 60 ! / 4!. 60!

On solving -

= 64 x 63 x 62 x 61 / 4 x 3 x 2 x 1

= 4032 x 3782 / 24

= 635376

Answer: The total groups possible are 635376