Question

For a scholarship, at the most n candidates out of 2n+1 can be selected. If the number of different ways of selection of at least one candidate is 63, the maximum number of candidates that can be selected for the scholarship is ?

Answer 1

31 member? not sure

Answer 2

Answer:

Step-by-step explanation:

at most n candidates out of 2n+1

if n=2, 2n+1 = 5

if n=3, 2n+1 = 7

if n=4,2n+1=9....

atleast one candidate = no. of ways of selecting 1+ no. of ways of selecting 2 + no. of ways of selecting 3....

Starting with A, check if 5C1+5C2 equal to 63? No.

is 7C1+7C2+7C3 equal to 63? Yes. So n=3. So max number of candidates is (B)3

If it was not the case, proceed until n=6..