An experiment involves participants. From these, a group of participants is to be tested under a special condition. How many groups of participants can be chosen, assuming that the order in which the participants are chosen is irrelevant?

Since you didn't give the data, i am solving with this data, You can easily get your answer by replacing these numbers by your numbers. hope it will be helpful for you. Thank you.

Total no. Of participants= n = 10

groups of participants can be chosen = 4

Now group of 4 participants can be chosen if choSen participants are irrelevant Is given by-

¹⁰C₄ = factorial(10) / factorial (4) * factorial (10 - 4)

= 10 *9*8*7 * factorial (6) /

(4*3*2*1 * factorial (6))

=210

Simlarly, group of 4 participants can be chosen if choSen participants are irrelevant Is given by-

P = 10*9*8*7* factorial (6) / factorial(10-4)

= 5040

So, the answer is 5040.