In how many ways can a committee of 3 members be chosen from a group of 8 people?

Question

The sum of all four-digit numbers that can be formed with the distinct non-zero digits $a$, $b$, $c$, and $d$, with each digit appearing exactly once in every number, is $153310 + n$, where $n$ is a single digit natural number. Then, the value of $(a + b + c + d)$ is ?

Answer 1

Pick 3 in order: $8 \times 7 \times 6 = 336$ ways. Since order within the committee does not matter, divide by $3! = 6$ to get $\dfrac{336}{6} = 56$.

In how many ways can a committee of 3 members be chosen from a group of 8 people?

Show Hint

The Correct Option is A

Solution and Explanation

Top Questions on Permutations and Combinations

Questions Asked in NMAT exam