Question

finding outcomes
pre-test complete
time remain
58:08
how many ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen?
○ 100
○ 120
○ 240
○ 720

Explanation:

Step1: Identify remaining slots & letters

We need 5 total positions, 2 are already chosen. Remaining slots: $5-2=3$. Total letters are 8, 2 are used, so remaining letters: $8-2=6$.

Step2: Calculate permutations for slots

For the 1st remaining slot: 6 choices. For the 2nd: 5 choices. For the 3rd: 4 choices. Calculate permutation: $6 \times 5 \times 4$

Step3: Compute the final value

$6 \times 5 \times 4 = 120$

Answer:

120