@TB54321,
The probability that exactly N cards are clubs is:
C(10,N) * (1/4)^N * (3/4)^(10-N)
which is:
the number of ways that N of the 10 can be selected as clubs
times the probability that those N are clubs
times the probability that the others are all not clubs
C(n,r) = n! / (r! * (n-r)!)
You can compute the results for 0-10 and sum appropriately.