The number of possible outcomes when a coin is tossed 6 times is

A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members be selected if the team has

(i) no girls

(ii) at least one boy and one girl

(iii) at least three girls.

If ⁿC₁₂ = ⁿC₈, then n is equal to

The number of different four digit numbers that can be formed with the digits 2, 3, 4, 7 and using each digit only once is

The sum of the digits in unit place of all the numbers formed with the help of 3, 4, 5 and 6 taken all at a time is