Question

how many 10 digit ternary sequences are there with exactly five o's ?​

Answer 1

Answer:

1

Step-by-step explanation:

Answer 2

Answer:

The required answer is 2016.

Step-by-step explanation:

• A ternary sequence is a sequence with base 3. Hence the digits that can appear in the 10 digits are 0, 1 & 2.
• Now as it is a 10 digit sequence so it has 10 Places.
• Of these 10 places, we have 3 ones and 2 zeroes.
• Now zero cannot be placed in the first place.
• So for zeros, we have 9 places. This can be filled in 9C2 ways.
• Once the zeroes have taken these places, we are left with 8 places.
• (As there were a total of 10 places of which 2 are occupied by zeroes)
• Of these 8 places, we place ones at three places. So We have 8C3.
• At the rest of the places, we shall have 2.
• So the total 10 digit ternary sequence containing exactly 3 ones & 2 zeroes are 9C2 × 8C3 = 2016.