Answer:
33649ways
Explanation:
We are expected to use the combination method to solve for the number of ways
given that
number of students n= 23
number of groups r= 5
the expression for the number of ways is given as
C(n,r)= n!/r!(n-r)!
substituting we have
C(23,5)= 23!/r!(n-r)!
C(23,5)= 23!/5!(23-5)!
C(23,5)= 23!/5!(18)!
C(23,5)= 23*22*21*20*19*18!/5!(18)!
C(23,5)= 23*22*21*20*19/5!
C(23,5)= 23*22*21*20*19/5*4*3*2*1
C(23,5)= 23*22*21*20*19/120
C(23,5)= 4037880/120
33649ways