CAN SOME ONE PLEASE ANSWER MY QUESTION
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3,628,800 ways can they arrange themselves in the shuttle, If 10 friends are going to occupy 10 seats in shuttle on the way to the airport.
Step-by-step explanation:
The given is,
10 friends are going to occupy 10 seats in shuttle on the way to the airport
Step:1
No. of friends - 10
No.of seats in space shuttle - 10
Formula to calculate the no. of ways to arrange,
............................(1)
Where, n - Positive integer
Step:2
From given, n = 10
Equation (1) becomes,
= 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 3628800
= 3628800 ways
Result:
3,628,800 ways can they arrange themselves in the shuttle, If 10 friends are going to occupy 10 seats in shuttle on the way to the airport.
The fifth term in the sequence would be 161.
Step-by-step explanation:
We have to find the fifth term in the sequence
Given that
a1 = 1 (that is the first term)
If we follow the formula, the value of every term depends on the value of immediate lower term. Therefore, the a2 can be calculated by putting 2 in place of n in above equation
as a1 = 1
Similarly,
as a2 = 5
and
as a3= 17
and
as a4 = 53
Therefore, the fifth term in the sequence would be 161.
Learn more:
The following links have more information about sequencing
Keywords: sequence, arithmetic series
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