Question
In how many ways can 4 distinct books be distributed
into 2 identical boxes such that no box is empty?Solution
We are given:
- 4 distinct books
- 2 identical boxes
- No box can be empty
- Choose 1 book to go in the smaller box: C(4, 1) = 4
- The remaining 3 go into the other box
- Since the boxes are identical, choosing (A in Box1, BCD in Box2) is the same as (BCD in Box1, A in Box2)
⇒ So we must divide by 2 to avoid double-counting
- Choose any 2 books to go into one box: C(4, 2) = 6
- The remaining 2 go into the second box
- But since the boxes are identical, the pair {A,B} in Box1 and {C,D} in Box2 is the same as {C,D} in Box1 and {A,B} in Box2
⇒ So divide by 2: 6 / 2 = 3
⇒ Also gives 2 unique ways Total = 2 (1–3 split) + 3 (2–2 split) + 2 (3–1 split) = 7
Operation in which sterile product filled in pre sterilized packaging material is known as
a) Active packaging
b) Vacuum packaging
...
Propionic acid and its salts are used in ______ making.
FSSAI's minimum TSS requirement for fruit squash is:
Pesticide residues can cause health hazards like:
Options :
1. Delayed neuro toxicity
2. Skin rashes and irritation
3. Flatulence
4. Neurolathyrism
The process of adding hydrogen to edible vegetable oil to produce semi-solid fat is called:
The removal if air (O2) from packagesprior to sealing is beneficial effect for preserving the growth of _____________microbes.
Agar-agar is used as:
Guava fruit is botanically known as:
Ramsar sites in North-East India is:
As per the guidelines of ICMR/NIN the percent of energy derived from cereals and nutricereals for an adult on a 2000 kcal diet is:
Relevant for Exams:
