As part of quality-control program, 3 light bulbs from each bath of 100 are tested. in how many ways can this test batch be chosen?

Step-by-step explanation:

We are given that total number of bulbs are = 100.

Number of bulbs are tested = 3.

Please note, when order it not important, we apply combination.

Choosing 3 bulbs out of 100 don't need any specific order.

Therefore, applying combination formula for choosing 3 bulbs out of 100 bulbs.

read as r out of n.

Plugging n=100 and r=3 in above formula, we get

Expanding 100! upto 97!, we get

=

Crossing out common 97! from top and bottom, we get

=

Expanding 3!, we get

=

= 100 × 33  × 49

= 161700 ways.

question is incomplete.

t = 3

step-by-step explanation:

put t = 3 in this expression :

(3²-1)(3²-2)(3² - 3)(3² - 4) = 8×7×6×5 = 56×30 = 1680