Compute the permutations and combinations. A company has 10 men qualified to run a machine that requires 3 operators at a time. Find how many groups of 3 operators are possible. 240 720 120

120

Step-by-step explanation:

To solve this question we would be using combination formula.

The formula for combination is given as:

C(n, r) = nCr

nCr = n!/r! ×(n - r)!

In the above question,

n = 10 men

r = 3 operators

Hence,

nCr = n!/r! × (n - r)!

10C3 = 10! /3! × (10 - 3)!

10C3 = 10!/3! × 7!

10C3 = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 /(3 × 2× 1 ) ×(7 × 6 × 5 × 4 × 3 × 2 × 1)

10C3 = 10 × 9 × 8 / 3 × 2× 1

10C3 = 720/6

10C3 = 120

Therefore, the number of groups of 3 operators that are possible is 120.

a .4y4

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the total estimated nappy use.=10,500,000

step-by-step explanation:

given that on an average the average baby uses 3528 napkins.

in a particular year 2014, the number of births were 299697 in new south wales.

rounding off the number of births to the nearest hundred thousand we have

no of birtsh = 300000

also rounding off the average usage to nearst thousand we get

average use of a baby = 3500

hence total number of nappy estimated to be used = 3500x300000

= 10,500,000

answer is 10,500,000 nappies