In how many ways can 6 subjects be selected from 10 subjects for an examination
Answer Details
To find the number of ways to select 6 subjects from 10 subjects, we can use the formula for combinations, which is:
nCr = n! / (r! * (n-r)!)
where n is the total number of subjects and r is the number of subjects to be selected.
In this case, we have n = 10 and r = 6, so we can plug these values into the formula:
10C6 = 10! / (6! * (10-6)!)
Simplifying this expression gives:
10C6 = (10*9*8*7*6*5) / (6*5*4*3*2*1)
Canceling out the common factors, we get:
10C6 = 10*9*8*7 / 4*3*2*1
10C6 = 210
Therefore, there are 210 ways to select 6 subjects from 10 subjects for an examination. Therefore, the correct options are (a) and (d).