Question

How many permutations are possible for 11 objects taken 7 at a time? 330 5,040 237,600 1,663,200

Answer 1

Answer:

1,663,200

Step-by-step explanation:

• The permutation here is the number of ways we can choose 7 objects out of 11 objects
• The position is important. object 1 and then object 2 is not the same as object 2 and then object 1.

Number of possible permutation =  11 x 10 x 9 x 8 x 7 x 6 x 5

Number of possible permutation =  1,663,200

Answer: 1,663,200

Answer 2

all possible permutations for ‘a’ objects taken ‘b’ at a time is given by $^{a}P_{b}$

and we know, $^{a}P_{b}=\frac{a!}{(a-b)!}$
here, ' ! ' is factorial sign.for example 3! = 3 × 2 × 1 = 6

now, 11P7 = 11!/(11 - 7)!

= 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4!/4!

= 11 × 10 × 9 × 8 × 7 × 6 × 5

= 1, 663, 200