Question

Find the number of ways of selecting 7 members from a contingent of 10 soldiers.​

Answer 1

10

P

7

=10p3

10*9*8/1*2*3

10*3*4

120

Answer 2

The number of ways of selecting 7 members from a contingent of 10 soldiers. is 120

Step-by-step explanation:

Total No. of soldiers = 10

We are supposed to find the number of ways of selecting 7 members from a contingent of 10 soldiers.​

So, we will use combination

Formula : $^nC_r=\frac{n!}{r!(n-r)!}$

n = 10

r = 7

Substitute the values in the formula :

$^{10}C_7=\frac{10!}{7!(10-7)!}=\frac{10!}{7! \times 3!}=120$

Hence the number of ways of selecting 7 members from a contingent of 10 soldiers is 120

#Learn more:

In a class of 25 students, find the total number of ways to select two representative,

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