# Permutations Combinations 1-4

31

A2400
B2700
C3000
D3200

32

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$3! \times 4! \times 5!$

34

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$^{{10}} {{C}}_{{4}}$

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