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).