# Permutations Combinations 1-6

A2400
B2700
C3000
D3200

A50
B52
C56
D60

### 33 Out of 3 mathematics books, 4 science books, and 5 literature books (all are different), how many different collections can be made by taking $atleast$ one of each kind?

A$7 \times 16 \times 32$
B$8 \times 15 \times 31$
C60
D$3! \times 4! \times 5!$

A98
B90
C120
D24

### 35 In how many ways can a pack of cards be equally divided among two players?

A$\dfrac{{52!}}{{26! \times 26!}} \times 2!$
B$\dfrac{{52!}}{{26! \times 26!}}$
C$\dfrac{{52!}}{{26! \times 26!}} \times \dfrac{1}{{2!}}$
D$\dfrac{{52!}}{{26!}} \times 2!$

### 36 In how many ways can 10 identical items be distributed among 6 students so that each student gets at least one item?

A219
B256
C126
D${}^{15}{C_5}$

### 37 In how many ways can 10 identical items be distributed among 6 students so that each student gets any number of items?

A$^{{15}} {{C}}_{{4}}$
B$^{{10}} {{C}}_{{5}}$
C$^{{15}} {{C}}_{{5}}$
D$^{{10}} {{C}}_{{4}}$